institut für volkswirtschaftslehre institut für volkswirtschaftslehre

INSTITUT FÜR VOLKSWIRTSCHAFTSLEHRE
JOHANNES KEPLER UNIVERSITÄT LINZ
Outsourcing and Skill-Specific Employment
in a Small
Economy:
Titel
Austria and the Fall of the Iron Curtain
Untertitel
von
von
Hartmut EGGER
*)
Autor(en)
Peter
EGGER*)
Arbeitspapier Nr.
Nr. 0024
xxxx
Arbeitspapier
Datum
Oktober 2000
Johannes Kepler Universität Linz
Institut für Volkswirtschaftslehre
Altenberger Straße 69
A-4040 Linz - Auhof, Austria
www.economics.uni-linz.ac.at
*)
Korrespondierender Autor:
[email protected]
[email protected]
Tel. +43 (0)70
Tel. +43
2468
–1-7982601-475
-xxx, -xxx (Fax)
Rxwvrxuflqj dqg Vnloo0Vshflf Hpsor|phqw
lq d Vpdoo Hfrqrp|=
Dxvwuld dqg wkh Idoo ri wkh Lurq Fxuwdlq
Kduwpxw Hjjhudqg Shwhu Hjjhu|
Rfwrehu 5333
Devwudfw
Zh suhvhqw d prgho/ lq zklfk d vpdoo lqgxvwuldolvhg hfrqrp| rxw0
vrxufhv sduw ri lwv surgxfwlrq lqwr d vpdoo iruhljq frxqwu| zklfk lv zhoo
hqgrzhg zlwk orz0vnloohg oderxu1 Zh dqdo|vh xqghu zklfk frqglwlrqv
vlqnlqj wudgh frvwv vwlpxodwh rxwvrxuflqj dfwlylwlhv/ wkhuhe| lqfuhdvlqj
wkh zdjh glvshuvlrq dqg/ li oderxu pdunhwv duh xqlrqlvhg/ dovr wkh hp0
sor|phqw ri kljk0vnloohg uhodwlyh wr orz0vnloohg oderxu1 Iru d sdqho ri
Dxvwuldq lqgxvwulhv/ zh qg uvw wkdw ghfuhdvlqj wudgh eduulhuv/ zklfk
fdq eh dvvrfldwhg zlwk wkh idoo ri wkh Lurq Fxuwdlq/ lqghhg vwlpxodwh
rxwvrxuflqj wr Hdvwhuq Hxursh dqg wkh iruphu Vrylhw Xqlrq/ dqg vhf0
rqg/ wkdw rxwvrxuflqj wr wkhvh frxqwulhv vljqlfdqwo| vkliwv uhodwlyh
hpsor|phqw lq idyrxu ri kljk0vnloohg oderxu1
MHO fodvvlfdwlrq= F66> I47> I48> I49
Nh|zrugv= Iudjphqwdwlrq> Vnloo0vshflf hpsor|phqw> Vlpxowd0
qhrxv htxdwlrqv
Xqlyhuvlw|
ri Uhjhqvexuj/ Uhjhqvexuj/ Jhupdq|/ H0pdlo= kduwpxw1hjjhuCzlzl1xql0
uhjhqvexuj1gh1
| Fruuhvsrqglqj Dxwkru= Dxvwuldq Lqvwlwxwh ri Hfrqrplf Uhvhdufk/ Ylhqqd/ Dxvwuld/
H0pdlo= Shwhu1HjjhuCzlir1df1dw1
4
4 Lqwurgxfwlrq
Vnloo0eldvhg whfkqrorjlfdo fkdqjh dqg joredolvdwlrq duh zlgho| vhhq dv srvvl0
eoh h{sodqdwlrqv iru wkh lqfuhdvh lq zdjh lqhtxdolw| lq wkh XVD dqg jurzlqj
xqhpsor|phqw udwhv ri orz0vnloohg oderxu lq wkh HX1 Pruh uhfhqwo|/ vrph dx0
wkruv kdyh irfxvvhg rq wkh uroh ri rxwvrxuflqj +iudjphqwdwlrq/ volflqj0xs wkh
ydoxh dgghg fkdlq, dqg xqghuslqqhg wkh lpsruwdqfh ri wudgh lq lqwhuphgldwhv
dqg wkhlu vnloo0vshflf frqvhtxhqfhv lq whupv ri uhodwlyh zdjhv dqg hpsor|0
phqw +Nuxjpdq/ 4<<8> Ihhqvwud ) Kdqvrq/ 4<<9/ 4<<: dqg 4<<<> Vodxjkwhu/
5333> dprqjvw rwkhuv,1 Wkh ghfuhdvh lq wudgh frvwv lv wkhuhe| zlgho| vhhq
dv d nh| ghwhuplqdqw iru lqfuhdvhg iudjphqwdwlrq/ zkhuh wkh lpsruwdqfh ri
erwk orzhu wudqvsruwdwlrq frvwv dqg srolwlfdo idfwruv +h1j1 olehudolvlqj eduul0
huv wr wudgh dqg lqyhvwphqw lq oderxu0ulfk Qhzo| Lqgxvwuldolvhg Hfrqrplhv,
kdv ehhq vwuhvvhg +Nuxjpdq/ 4<<8> Ihhqvwud/ 4<<;,1
Iurp d wkhruhwlfdo srlqw ri ylhz/ rxwvrxuflqj vhhpv wr surylgh d sodxvleoh
phdqv iru h{sodlqlqj wkh idfwru pdunhw fkdqjhv lq lqgxvwuldolvhg frxqwulhv
+vhh Ghdugru/ 4<<; dqg 5333> Duqgw/ 4<<<> Mrqhv ) Nlhu}nrzvnl/ 5333 iru d
wkhruhwlfdo dqdo|vlv,1 Krzhyhu/ prvw ri wkh wkhruhwlfdo dqdo|vlv kdv ehhq grqh
iru odujh frxqwulhv dqg hpslulfdo lqyhvwljdwlrqv kdyh sulpdulo| hqylvdjhg wkh
X1V1 fdvh1
Frqwudu| wr wkh XVD/ zkhuh zdjh hhfwv duh wkh pdlq irfxv ri dqdo|vlv/
lq wkh HX/ wkh lpsdfw rq xqhpsor|phqw udwhv lv ri juhdwhu lqwhuhvw> glhu0
hqfhv lq oderxu pdunhw ghyhorsphqwv +zlwk uhvshfw wr wkh XVD dqg wkh HX,
kdyh wudglwlrqdoo| ehhq h{sodlqhg e| lqvwlwxwlrqdo idfwruv dqg prvw lpsru0
wdqwo| e| xqlrq srzhu1 Pruhryhu/ vpdoo rshq hfrqrplhv duh pruh dhfwhg e|
fkdqjhv lq wudgh eduulhuv wkdq odujh rqhv duh1 Vlqfh prvw HX phpehuv pd|
eh frqvlghuhg dv ehlqj vpdoo rshq hfrqrplhv/ wkh oderxu pdunhw hhfwv lp0
solhg e| wkh rshqlqj xs ri Hdvwhuq Hxursh dqg wkh iruphu Vrylhw Xqlrq dqg
wkh uhodwhg lqfuhdvh lq rxwvrxuflqj dfwlylwlhv pd| eh pruh surqrxqfhg wkdq
wkh oderxu pdunhw hhfwv lq wkh XVD lpsolhg e| wkh lqwhjudwlrq ri Ph{lfr
dqg wkh XVD1
Rxu sdshu dqdo|vhv zkhwkhu dqg wr zklfk h{whqw uhfhqw oderxu pdunhw
ghyhorsphqwv fdq eh dwwulexwhg wr wkh ghfolqh lq wudgh eduulhuv iroorzlqj
wkh idoo ri wkh Lurq Fxuwdlq dqg wkh uhodwhg vwlpxodwlrq ri rxwvrxuflqj e|
4
4 Ihhqvwud
) Kdqvrq +4<<9/ 4<<: dqg 4<<<, hvwlpdwh d vljqlfdqw dqg odujh hhfw ri
iudjphqwdwlrq +dfurvv frxqwulhv, rq idfwru pdunhwv/ li d zlgh phdvxuh ri rxwvrxuflqj lv
xvhg1 Lq frqwudvw/ Vodxjkwhu +5333, grhv qrw qg dq| odujh lpsdfw ri rxwvrxuflqj lq klv
h{dplqdwlrq ri rqo| pxowlqdwlrqdo hqwhusulvhv khdgtxduwhuhg lq wkh XVD1
5
grphvwlf upv +sxufkdvhv ri lqwhuphgldwh lqsxwv iurp wkh vdph lqgxvwu|,
wr Hdvwhuq Hxursh dqg wkh iruphu Vrylhw Xqlrq1 Zh surylgh d wkhruhwlfdo
prgho lq zklfk d vpdoo frxqwu| +Krph, pd| surgxfh d krprjhqhrxv jrrg
hlwkhu lqwhuqdoo| +xvlqj orz0vnloohg dqg kljk0vnloohg oderxu dw Krph, ru e|
iudjphqwlqj surgxfwlrq dfurvv erughuv +xvlqj orz0vnloohg oderxu deurdg dqg
rqo| kljk0vnloohg dw krph,1 Zh lqyhvwljdwh xqghu zklfk frqglwlrqv d gh0
fuhdvh lq wudgh eduulhuv +dv zdv wkh fdvh diwhu wkh idoo ri wkh Lurq Fxuwdlq,
lqfuhdvhv rxwvrxuflqj e| Krph lqwr d iruhljq hfrqrp| +Iruhljq, dqg vkrz
wkdw d vwlpxodwlrq ri rxwvrxuflqj dfwlylwlhv udlvhv wkh hpsor|phqw ri kljk0
vnloohg uhodwlyh wr orz0vnloohg oderxu/ li wkh pdunhw iru orz0vnloohg oderxu lq
wkh Krph lv xqlrqlvhg1
Iru wkh hfrqrphwulf dqd|ovlv/ zh h{dplqh wkh fdvh ri Dxvwuld/ zklfk vhhpv
wr eh d qdwxudo fdqglgdwh +uhjduglqj wkh jhrjudsklfdo sur{lplw| dqg klvwrulf
wlhv/ frpsduh Nrkohu/ 5333E,/ lqyhvwljdwlqj erwk wkh lpsdfw wkh rshqlqj0xs
ri Hdvwhuq hfrqrplhv kdg rq rxwvrxuflqj dfwlylwhv dqg wkh uhodwhg hpsor|0
phqw hhfwv1 Irfxvvlqj rq wkh Dxvwuldq pdqxidfwxulqj vhfwru/ zh hvwdeolvk
wkh iroorzlqj vw|olvhg idfwv iru wkh frxqwu|*v rshqqhvv lq whupv ri jurvv sur0
gxfwlrq1 Rxwvrxuflqj wr Hdvwhuq frxqwulhv urvh gudpdwlfdoo| gxulqj wkh sh0
ulrg 4<<304<<;1 Zlwk dq dyhudjh dqqxdo udwh ri 431:4 shufhqw/ lw juhz pxfk
idvwhu wkdq ryhudoo rxwvrxuflqj +419: shufhqw s1d1, / h{sruwv +61< shufhqw s1d1,
ru lpsruwv +51; shufhqw s1d1,1
Frqvlghulqj wkh Dxvwuldq oderxu pdunhw/ wkh hpsor|phqw ri kljk0vnloohg
uhodwlyh wr orz0vnloohg zrunhuv urvh pdunhgo|/ zlwk dq dyhudjh dqqxdo jurzwk
udwh ri 7176 shufhqw1 Lq frqwudvw/ wkh zdjh udwh ri kljk0vnloohg uhodwlyh wr
orz0vnloohg oderxu zdv qhduo| frqvwdqw ryhu wkh vdph shulrg zlwk dq dyhudjh
dqqxdo jurzwk udwh ri 3135 shufhqw1 Wklv dv|pphwu| lq uhodwlyh hpsor|phqw
dqg uhodwlyh zdjh g|qdplfv pd| eh h{sodlqhg e| wkh idfw wkdw vwurqj xqlrqv
duh dw zrun lq Dxvwuld/ zlwk wkh kljkhvw edujdlqlqj fryhudjh udwh ri doo HX
phpehuv1
Zh qg rxu wkhruhwlfdo vwru| wr eh zlgho| lq dffrugdqfh zlwk wkh hpslu0
lfdo uhvxowv iru d sdqho ri 53 pdqxidfwxulqj lqgxvwulhv dw wkh QDFH 50gljlw
ohyho1 Iluvw/ rxwvrxuflqj wr Hdvwhuq frxqwulhv uh hfwv wkh vhdufk iru orz0zdjh
oderxu dqg lv gulyhq e| vkulqnlqj wudgh eduulhuv1 Vhfrqgo|/ dq lqfuhdvh lq
rxwvrxuflqj wr wkh Hdvwhuq frxqwulhv ri rqh shufhqw lq whupv ri jurvv sur0
5
6
5 Lq 4<<:/ Dxvwuld*v lpsruwv ri pdqxidfwxuhv iurp Hdvwhuq Hxursh dqg wkh iruphu Vrylhw
Xqlrq phdvxuhg lq whupv ri jurvv surgxfwlrq zhuh 518 wlphv kljkhu wkdq wkh HX dyhudjh1
+Fdofxodwlrqv duh edvhg rq RHFG Vwdwlvwlfv rq Iruhljq Wudgh1,
6 Qrwhzruwk| rxwvrxuflqj wr RHFG frxqwulhv lqfuhdvhg rqo| e| 319 shufhqw s1d1
6
gxfwlrq zrxog jhqhudwh d vkliw lq uhodwlyh hpsor|phqw ri derxw 314 shufhqw
lq idyrxu ri kljk0vnloohg oderxu1 Zh surylgh wzr hfrqrphwulf dssurdfkhv/ lq0
vwuxphqwdo yduldeohv +wzr0vwdjh ohdvw vtxduhv/ 5VOV> l1h1 wkh fryduldqfh 5VOV
hvwlpdwru/ vhh Nulvkqdnxpdu/ 4<<9, dqg v|vwhp hvwlpdwlrq +wkuhh0vwdjh ohdvw
vtxduhv/ 6VOV, whfkqltxhv xvlqj d {hg +lqgxvwu| dqg wlph, hhfwv hvwlpdwru1
Wuhdwlqj rxwvrxuflqj dv dq h{rjhqrxv yduldeoh ohdgv wr d grzqzdug eldv ri
wkh hhfwv rq uhodwlyh hpsor|phqw1
Wkh sdshu lv rujdqlvhg dv iroorzv= Vhfwlrq 5 lqwurgxfhv wkh wkhruhwlfdo
prgho> Vhfwlrq 6 ghvfulehv wkh gdwd edvh dqg suhvhqwv wkh hpslulfdo uhvxowv>
Vhfwlrq 7 surylghv d frqfoxvlrq ri rxu qglqjv1
5 Wkh Prgho
Zh surylgh d prgho zlwk wkuhh frxqwulhv= Krph/ zklfk pd| eh dvvrfldwhg
zlwk Dxvwuld/ Iruhljq/ zklfk uhsuhvhqwv Hdvwhuq Hxursh dqg wkh iruphu
Vrylhw Xqlrq> dqg wkh uhvw ri wkh zruog +URZ,1 Zh dvvxph wkdw Krph dqg
Iruhljq duh erwk vpdoo uhodwlyh wr wkh URZ1 Lq dgglwlrq/ Krph*v ghpdqg iru
orz0vnloohg oderxu lv vpdoo uhodwlyh wr Iruhljq*v vxsso| ri orz0vnloohg oderxu1
Wudgh ehwzhhq Krph dqg wkh URZ lv iuhh/ zkhuhdv wudgh ehwzhhq Krph
dqg wkh URZ rq wkh rqh vlgh dqg Iruhljq rq wkh rwkhu lv wr d fhuwdlq h{whqw
lqklelwhg e| eduulhuv1 Krph lv dq rshq lqgxvwuldolvhg hfrqrp|/ lq zklfk
upv duh frpshwlwlyh dqg surgxfh d krprjhqhrxv qdo jrrg/ f / wkurxjk
wkh lpsohphqwdwlrq ri wzr idfwruv/ qdpho| kljk0vnloohg +M , dqg orz0vnloohg
+u, oderxu/ zklfk erwk duh vxssolhg lqhodvwlfdoo| +M / u,1 Vlqfh Krph lv
vpdoo/ wkh sulfh iru f lv ghwhuplqhg rq wkh zruog pdunhw dqg lv jlyhq iru
Krph1
Zh prgho wkh pdunhwv iru wkh wzr idfwruv dv vhjphqwhg dqg dvvxph wkdw
M lv vxssolhg lq d shuihfwo| frpshwlwlyh oderxu pdunhw lq Krph1 Wkh oderxu
pdunhw iru u pd| eh hlwkhu frpshwlwlyh ru glvwruwhg e| wudgh xqlrq dfwlyl0
wlhv1 Zh dffrxqw iru xqlrqv lq wkh iroorzlqj zd|1 Li wudgh xqlrqv duh dw zrun
lq wkh vpdoo Krph frxqwu|/ wkh zdjh vhwwlqj lv qrw ixoo| h{leoh1 Vlqfh zh
duh h{dplqlqj d vhjphqwhg oderxu pdunhw/ lq rxu prgho/ wudgh xqlrqv vhw
zdjhv iru orz0vnloohg oderxu/ ghshqglqj rq wkh zdjhv ri kljk0vnloohg oderxu1
Khqfh/ wudgh xqlrqv duh orrnlqj dw wkh zdjh0vsuhdg ehwzhhq kljk0vnloohg dqg
orz0vnloohg oderxu1 Zh dvvxph wkdw xqlrqv dffhsw kljkhu zdjh glvshuvlrq
7
wr hpslulfdo hylghqfh/ uhodwlyh zdjhv +zK @zO , duh qrw ixoo| h{leoh lq d
xqlrqlvhg hfrqrp|1 Frpsduh iru h{dpsoh Ehopdq ) Kh|zrrg/ 4<<3> Phqj/ 4<<3> dqg
7 Dffruglqj
7
li orz0vnloohg hpsor|phqw ghfolqhv dqg pruhryhu/ wkdw upv fkrrvh hpsor|0
phqw xqlodwhudoo|1 Wkh odwwhu lpsolhv wkdw orz0vnloohg zrunhuv duh sdlg wkhlu
pdujlqdo surgxfw1
8
9
514 Surgxfwlrq Whfkqrorj|/ Surw Pd{lplvdwlrq dqg
wkh Htxloleulxp Vwuxfwxuh ri Surgxfwlrq Prghv
Zh doorz iru iudjphqwdwlrq lq wkh surgxfwlrq ri f / zkhuh zh dvvxph wkdw
wkh nh| ghwhuplqdqw frpsulvhv wkh glhuhqfhv ehwzhhq frxqwulhv uhjduglqj
wkh zdjhv ri orz0vnloohg oderxu1 Wkxv/ zh frqfhqwudwh vroho| rq yhuwlfdo
iudjphqwdwlrq dqg rq furvv0erughu rxwvrxuflqj +Ghdugru/ 4<<;, dqg ghulyh
vroxwlrqv iru wkh vkliw lq rxwvrxuflqj dfwlylwlhv dqg wkh uhodwhg hpsor|phqw
hhfwv zklfk zrxog uhvxow zkhq Iruhljq rshqv xs lwv pdunhwv1
Iru wkh vdnh ri vlpsolflw|/ zh dvvxph wkdw glhuhqfhv lq zdjh udwhv duh
wrr vpdoo wr sd| iru rxwvrxuflqj dfwlylwlhv ehwzhhq Krph dqg wkh URZ/ vr
wkdw rxwvrxuflqj +iru erwk Krph dqg wkh URZ, lv rqo| srvvleoh lqwr Iruhljq1
Wkxv/ Krph h{sruwv f dqg lpsruwv lqwhuphgldwh jrrgv iurp Iruhljq1
Wkhuh duh wzr prghv dffruglqj wr zklfk Krph fdq surgxfh f = Dq lqwh0
judwhg prgh +, dqg d iudjphqwhg prgh +s ,1 Zkhuhdv lqwhjudwhg surgxfwlrq
+zklfk lv dvvxphg wr eh rujdqlvhg zlwklq d vlqjoh up, lv hqwluho| orfdwhg
lq Krph dqg xvhv erwk orz0vnloohg dqg kljk0vnloohg zrunhuv vxssolhg e| wkh
Krph frxqwu|/ d iudjphqwhg up rqo| surgxfhv d grzq0vwuhdp iudjphqw lq
Krph/ zkloh lw lpsruwv dq xs0vwuhdp frpsrqhqw iurp Iruhljq1 Wkh lpsruwhg
lqwhuphgldwh lv dvvxphg wr eh surgxfhg e| d iruhljq d!oldwh ri d pxowlqd0
wlrqdo edvhg lq Krph1 Lq sduwlfxodu/ wkh grzq0vwuhdp surfhvv xvhv rqo|
kljk0vnloohg oderxu wrjhwkhu zlwk wkh lpsruwhg iudjphqw1 Iru wkh xs0vwuhdp
surfhvv/ Iruhljq vxssolhv orz0vnloohg oderxu1 Pruhryhu/ vrph dgglwlrqdo kljk0
vnloohg oderxu +vxssolhg e| Krph, lv qhfhvvdu| wr pdnh Iruhljq*v orz0vnloo0
:
;
Ghoo* Dulqjd ) Oxflirud/ 4<<7> hwf1
8 Wklv fdq eh dujxhg e| dvvxplqj wkdw wkh zhljkw ri hpsor|phqw lq xqlrq remhfwlyhv
ulvhv uhodwlyh wr wkh zhljkw ri zdjh htxdolw|/ li wkh xqhpsor|phqw ri orz0vnloohg zrunhuv
lqfuhdvhv1
9 Wklv lv lq dffrugdqfh zlwk uljkw0wr0pdqdjh dqg prqrsro| xqlrq prghov1
: Uhphpehu/ wudgh ehwzhhq Krph dqg Iruhljq lv dvvxphg wr eh lpshghg wr vrph h{whqw1
; Iurp d pdfurhfrqrplf srlqw ri ylhz/ lw lv rqo| lpsruwdqw wkdw surfhvv l lv rujdqlvhg
lqwhuqdoo| +l1h1 zlwklq erughuv,/ zkloh i lv rujdqlvhg dfurvv erughuv/ zkhuhdv lw lv qrw
lpsruwdqw zkhwkhu uvw/ surfhvv l lv rujdqlvhg zlwklq d vlqjoh up/ dqg vhfrqg/ wkh xs0
vwuhdp iudjphqw lv surgxfhg e| d iruhljq d!oldwh ri pxowlqdwlrqdo edvhg lq Krph ru dw
dup*v ohqjwk1
8
lqwhqvlyh lqwhuphgldwh xvhdeoh iru Krph1 Wkxv/ iudjphqwhg surgxfwlrq +s ,
grhv qrw xvh Krph0vxssolhg orz0vnloohg oderxu1
Zh vhw wkh pdvv ri wkh frqwlqxxp ri upv dfwlyh lq Krph dw xqlw| dqg dv0
vxph wkdw doo upv xqghu d sduwlfxodu surgxfwlrq uhjlph + ru s , duh lghqwlfdo1
Doo upv idfh d ixoo| frpshwlwlyh jrrgv pdunhw1 Wkhq/ wkh wzr surgxfwlrq
whfkqrorjlhv duh jlyhq e|
f&
fs
'
'
8 E,& c & 8 s EJ c _ +4,
+5,
zkhuh vxshuvfulsw +s , lqglfdwhv wkdw wkh surgxfwlrq ri up & + , lv lqwh0
judwhg +iudjphqwhg,1 f& +fs , lv wkh rxwsxw ri wkh vpdoo lqwhjudwhg +iudj0
phqwhg, up & + ,1 _ uhihuv wr wkh grzq0vwuhdp surfhvv1 8 E dqg 8 s E
duh erwk olqhdu krprjhqhrxv/ vwulfwo| frqfdyh surgxfwlrq ixqfwlrqv1 J lv
wkh lqwhuphgldwh lqsxw ri up / surgxfhg lq Iruhljq e| dq d!oldwh ri wkh
pxowlqdwlrqdo xqghu d Ohrqwlhi whfkqrorj|
<
J
ie, c V j/
' 4?
+6,
, ghqrwhv iruhljq orz0vnloohg oderxu xvhg iru surgxflqj J 1 lqglfdwhv
zkhuh e
wkh xs0vwuhdp surfhvv1 Zh frqvlghu wkdw J / zkhq lw lv lpsruwhg e| Krph/ do0
uhdg| frqwdlqv / zklfk lv sduw ri Krph*v hqgrzphqw ri kljk0vnloohg oderxu1
Wkxv/ J lq idfw ghqrwhv wkh lpsruwhg iudjphqw1 V :  lv d vkliw sdudphwhu1
Dffruglqj wr +4,/ +5, dqg +6,/ Krph*v kljk0vnloohg oderxu fdq eh hpsor|hg
hlwkhu lq dq lqwhjudwhg up + ,/ lq wkh grzq0vwuhdp surfhvv ri d iudjphqwhg
up +_ , ru lq wkh surgxfwlrq ri wkh lpsruwhg lqwhuphgldwh + ,1
Wrwdo frvwv dulvlqj iru up / gxh wr lwv xvh ri iudjphqwv surgxfhg lq
uhdvrq iru xvlqj d Ohrqwlhi whfkqrorj| lv wkh iroorzlqj1 Iluvw/ uhphpehu/ wkdw kxm/
zklfk pd| eh dvvrfldwhg zlwk kljk0vnloohg frruglqdwlrq ru rujdqlvdwlrq uhtxluhphqwv/ kdv
ehhq dvvxphg wr eh qhfhvvdu| iru pdnlqj Iruhljq*v orz0vnloo0lqwhqvlyh lqwhuphgldwh xvhdeoh
iru wkh grzqvwuhdp surfhvv ri d iudjphqwhg up lq Krph1 Wkxv/ lw vhhpv wr eh sodxvleoh
wkdw +Krph0vxssolhg, kljk0vnloohg oderxu hpsor|hg lq wkh surgxfwlrq ri wkh xs0vwuhdp
iudjphqw kxm lv qrw vxevwlwxwdeoh zlwk Iruhljq0vxssolhg orz0vnloohg oderxu eom 1 Vhfrqgo|/ zh
zdqw wr pdnh xvh ri d olqhdu0krprjhqhrxv surgxfwlrq ixqfwlrq/ vlqfh hfrqrplhv ri vfdoh
duh zlgho| eholhyhg wr eh lpsruwdqw lq xqghuvwdqglqj erwk wkh fdxvhv dqg hhfwv ri wudgh
zlwklq wkh RHFG/ exw suredeo| sod| d vpdoohu uroh lq QLH wudgh1 +Nuxjpdq/ 4<<8/ s1
678,1
< Wkh
9
Iruhljq/ lqfoxglqj erwk surgxfwlrq dqg wudgh frvwv/ duh jlyhq e|
h EJ ' S ue c M
n
| n E J / zlwk
YS
YS
: f dqg
: f/
Yue
YM
+7,
uhsuhvhqwv xqlw frvwv ri surgxfwlrq/ zklfk duh lqghshqghqw
zkhuh S ue c M
ri wkh rxwsxw ohyho gxh wr wkh olqhdu krprjhqhlw| ri J 1 ue lqglfdwhv Iruhljq*v
ghqrwhv wkh zdjh udwh iru +Krph0
zdjh udwh iru orz0vnloohg oderxu dqg M
vxssolhg, kljk0vnloohg oderxu xvhg lq wkh xs0vwuhdp surfhvv ri d iudjphqwhg
up1 | uhsuhvhqwv wudgh frvwv +wdul ru qrq0wdul eduulhuv wr wudgh,1 Qrwh
wkdw Ef ' f/ E f dqg wkdw lv wkh djjuhjdwhg dprxqw ri Krph*v
rxwvrxuflqj/ l1h1 '
a
S
'
J / jlyhq iru wkh lqglylgxdo up1 Dffruglqj wr wklv/
E lqglfdwhv h{whuqdo glvhfrqrplhv ri vfdoh ri rxwvrxuflqj/ zklfk pd| dulvh
gxh wr d olplwhg fdsdflw| iru rxwvrxuflqj / zkhuh E ' f lpsolhv wkdw
43
wkhuh duh qr glvhfrqrplhv ri vfdoh1
Wkh ghflvlrq sureohp ri up & / wkh surgxfwlrq ri zklfk lv lqwhjudwhg/ lv
jlyhq e|
4@
,& D f / &D
f
8 ,& c &
u,& M &
+8,
dqg wkh ghflvlrq sureohp ri pxowlqdwlrqdo lv uhsuhvhqwhg e|
4@
J / _ Df
8 s J c _
S ue c M
n
| n E J M_ _ /
+9,
zkhuh u ghqrwhv wkh zdjh udwh iru +Krph0vxssolhg, orz0vnloohg oderxu dqg
M dqg M_ duh zdjhv iru kljk0vnloohg oderxu xvhg lq lqwhjudwhg upv dqg lq
wkh grzq0vwuhdp surfhvv ri iudjphqwhg upv/ uhvshfwlyho|1 Gxh wr shuihfw
frpshwlwlrq/ zdjhv duh jlyhq iru wkh lqglylgxdo up1
51414
Wkh Iluvw Rughu Frqglwlrqv
Vroylqj wkh pd{lplvdwlrq sureohp iru Krph*v up & / zklfk surgxfhv xqghu
prgh +, uhvxowv lq wkh iroorzlqj uvw rughu frqglwlrqv
8,
8
&
&
43 Glvhfrqrplhv
u /
M /
+:,
+;,
ri vfdoh pd| dulvh gxh wr frqjhvwlrq dw wkh erughu/ ulvlqj sulfhv iru
uhqwlqj exloglqjv dqg r!fhv lq Iruhljq/ rwkhu yduldeoh lqiudvwuxfwxuh frvwv/ hwf1
:
zkhuh 8,&
zh qg
'
Y8 *Y,& dqg 8
8Js
8s
_
Y8 *Y& 1 Htxlydohqwo|/ iru pxowlqdwlrqdov
'
&
S ue c M
n
| n E /
M_ /
+<,
+43,
Y8 s *YJ dqg 8s ' Y8 s *Y_ 1 Zh frqfhqwudwh rq lqwhulru
vroxwlrqv rqo| +l1h1 ,& : f/ & : f/ J : f dqg _ : f,1 Wklv phdqv wkdw
wudgh eduulhuv | doorz iru vrph rxwvrxuflqj iurp Krph lqwr Iruhljq exw qrw
zkhuh 8Js
'
_
iru ixoo vshfldolvdwlrq lq wkh iudjphqwhg surgxfwlrq prgh lq Krph ehiruh
dqg diwhu wkh rshqlqj xs ri Iruhljq1 Wkxv/ wudgh eduulhuv | dqg orz0vnloohg
zdjhv lq Iruhljq ue duh vxfk/ wkdw +:,0+43, krog zlwk htxdolw|1 Li zh dvvxph
wkdw doo upv xvlqj d sduwlfxodu surgxfwlrq surfhvv duh lghqwlfdo/ wkhq/ lq d
v|pphwulf htxloleulxp/ zh rewdlq
,&
'
u/ &
'
M / _ ' M _ / J
'
1
+44,
e/ ' M dqg wkdw fdslwdo ohwwhuv ghqrwh
, ' u
Qrwh wkdw J ' lpsolhv e
erwk dyhudjh dqg djjuhjdwh ohyhov/ gxh wr wkh xqlw pdvv ri doo upv1 Wrwdo
hpsor|phqw ri kljk0vnloohg oderxu lv wkhuhiruh jlyhq e| M ' M n M _ n
M 1 Pruhryhu/ zlwk d frpshwlwlyh kljk0vnloohg oderxu pdunhw/ zh kdyh ixoo
hpsor|phqw ri kljk0vnloohg oderxu/ l1h1 M ' M / dqg
M
'
M_
'
M
M 1
+45,
Dffruglqj wr +:,/ +;,/ +44, dqg +45, htxloleulxp uhodwlyh zdjhv duh jlyhq e|
8M
8u
'
M
u
'
/1
+46,
Ilqdoo|/ li erwk oderxu pdunhwv duh frpshwlwlyh/ orz0vnloohg oderxu lv do0
zd|v ixoo| hpsor|hg/ l1h1 u ' u dqg _u*_M ' f1 Lq frqwudvw/ li wudgh xqlrqv
duh dw zrun/ / lv qhlwkhu ixoo| h{leoh qru wrwdoo|
frqvwdqw/ lpso|lqj wkdw u
ehfrphv d ixqfwlrq ri M / l1h1 u EM / zlwk u M u dqg f _u*_M 1
Ehlqj pruh suhflvh/ zh dvvxph wkdw
_28 uc M _2 8 Eu EM c M fc
_ EM 2
_ EM 2
dffruglqj wr +;,/ +44,/ +45,1
;
+47,
51415
Htxloleulxp Vwuxfwxuh ri Surgxfwlrq Prghv
Vlqfh surgxfwlrq lv glyhuvlhg/ l1h1 ,& : f/ & : f/ J : f dqg _ : f/ hdfk
up kdv wkh rswlrq ri fkrrvlqj hlwkhu dq lqwhjudwhg ru d iudjphqwhg surgxf0
wlrq prgh zlwkrxw hqwu| frvwv / dqg zh qg wkh iroorzlqj wzr frqglwlrqv1
Iluvw/ surwv pxvw eh htxdo lq htxloleulxp/ l1h1
44
8 ,& c &

~}u,& M €&
Z &
'
8 s EJ c _ S ue c M

~}
Z s
| n E J M _ / +48,
nE
€
dffruglqj wr +8,/ +9, dqg +45,1 Vhfrqgo|/ surwv pxvw eh }hur lq htxloleulxp/
l1h1
Z ' f/
+49,
zkhuh Z & ' Zs Z1 Qrwh wkdw +48, dqg +49, ghwhuplqh wkh htxloleulxp
vwuxfwxuh ri wkh wzr surgxfwlrq prghv dv d ixqfwlrq ri wudgh eduulhuv | dqg
orz0vnloohg zdjhv sdlg lq Iruhljq ue 1
515 Wkh Rshqlqj0xs ri Iruhljq dqg Lwv Lpsdfw rq wkh
Surgxfwlrq Vwuxfwxuh dqg Uhodwlyh Hpsor|phqw lq
Krph
Qrz zh glvfxvv krz d ghfuhdvh lq wudgh eduulhuv |/ dv zdv wkh fdvh iroorzlqj
wkh idoo ri wkh Lurq Fxuwdlq/ dowhuv wkh htxloleulxp surgxfwlrq vwuxfwxuh dqg
wkh uhodwlyh oderxu ghpdqg lq Krph1 Zh dvvxph wkdw zruog pdunhw sulfhv
duh xqdhfwhg e| wkh rshqlqj0xs ri Iruhljq/ zkhuhdv wkh zdjhv ri orz0vnloohg
zrunhuv lq Iruhljq pd| eh dhfwhg e| d fkdqjh lq |1 Wklv lv gxh wr wkh idfw
wkdw Iruhljq lv vpdoo frpsduhg wr wkh URZ1 Vlqfh Krph*v ghpdqg iru orz0
vnloohg oderxu lv dvvxphg wr eh vpdoo zlwk uhvshfw wr wkh orz0vnloohg oderxu
vxsso| lq Iruhljq/ ue lv h{rjhqrxv iurp Krph*v srlqw ri ylhz dqg wkh ghfolqh
44 Frqvlghu
wkdw rxu iuhh hqwu| dvvxpswlrq dovr lqfoxghv }hur frvwv ri vzlwfklqj ehwzhhq
wkh wzr surgxfwlrq whfkqrorjlhv1
<
ri | kdv dq lpsdfw rq ue rqo| li Iruhljq dovr rshqv xs wr wkh URZ1 Irupdoo|/
zh kdyh
_ue E|
_|
1
f
+4:,
D ghfolqh lq wudgh frvwv | lqfuhdvhv wkh rxwvrxuflqj dfwly0
lwlhv ri Krph lqwr Iruhljq/ lpso|lqj d vkliw iurp lqwhjudwhg wr iudjphqwhg
surgxfwlrq li dqg rqo| li
Sursrvlwlrq 4
45
YS 
E *Yue
_ue E|
1
_|
+4;,
Vhh dsshqgl{ D141
Qrwh wkdw li +4:, krogv zlwk htxdolw|/ +4;, lv dozd|v ixooohg/ vlqfh wkh ohiw
kdqg vlgh ri +4;, lv vpdoohu wkdq }hur1 Iurp qrz rq/ zh dvvxph wkdw +4;, lv
ixooohg dqg wkhuhiruh/ wkdw rxwvrxuflqj +e| Krph, ghfuhdvhv zlwk |/ zklfk
lv eurdgo| dffhswhg dprqj hfrqrplvwv +vhh Nuxjpdq/ 4<<8/ dqg Ihhqvwud/
4<<;/ dprqj rwkhuv,1 Ehorz/ zh zloo whvw zkhwkhu ru qrw wklv dvvxpswlrq lv
frqvlvwhqw zlwk rxu hpslulfdo qglqjv1
Wkh vrxufh iru dq lqfuhdvh lq rxwvrxuflqj dfwlylwhv e| Krph lqwr Iruhljq
+li Iruhljq rshqv xs, lv wkh iroorzlqj1 Li wudgh frvwv | ghfolqh dqg orz0vnloohg
zdjhv lq Iruhljq ue gr qrw lqfuhdvh wrr pxfk +l1h1 li +4;, lv ixooohg,/ wkh
frvwv ri vxsso|lqj f s ghfuhdvh/ vr wkdw wkh surwv ri iudjphqwhg upv ehfrph
srvlwlyh1 Wklv |lhogv dq lqfhqwlyh wr udlvh rxwvrxuflqj dqg wkhuhiruh ohdgv wr
dq lqfuhdvhg ghpdqg iru kljk0vnloohg zrunhuv lq Krph1 Wkxv/ zdjhv M
ulvh/ lpso|lqj d ghfolqh lq wkh rxwsxw ri lqwhjudwhg surgxfwlrq +gxh wr wkh
orzhu hpsor|phqw ri kljk0vnloohg zrunhuv lq lqwhjudwhg surgxfwlrq,/ dv zhoo
dv dq lqfuhdvh lq wkh rxwvrxuflqj dfwlylwlhv ri Krph dqg wkhuhiruh dovr lq wkh
djjuhjdwh rxwsxw ri iudjphqwhg upv +f s ,1
Zh douhdg| nqrz wkdw wkh vkliw iurp lqwhjudwhg wr iudjphqwhg surgxf0
wlrq zloo dhfw Krph*v oderxu pdunhwv1 Exw wkh lpsdfw rq wkh hpsor|phqw
ri kljk0vnloohg oderxu uhodwlyh wr orz0vnloohg oderxu M*u uhpdlqv wr eh ghwhu0
plqhg1
Surri1
45 Uhphpehu
ehhq rshqhg1
wkdw zh kdyh dvvxphg +:,0+43, wr krog zlwk htxdolw|/ dovr diwhu Iruhljq kdv
43
Li erwk oderxu pdunhwv duh frpshwlwlyh/ l1h1 li / lv ixoo| h{0
leoh/ wkhq d ghfolqh lq wudgh frvwv +l, lqfuhdvhv wkh uhodwlyh zdjh udwh / dqg
+ll, kdv qr lpsdfw rq uhodwlyh hpsor|phqw M*u1
Sursrvlwlrq 5
46
Vhh dsshqgl{ D151
Wkh edfnjurxqg iru Sursrvlwlrq 5 lv wkh iroorzlqj1 Li wudgh frvwv | ghfolqh/
rxwvrxuflqj dfwlylwlhv lq Krph duh vwlpxodwhg/ dffruglqj wr Sursrvlwlrq 4/
lpso|lqj dq lqfuhdvh lq wkh zdjh udwh ri kljk0vnloohg oderxu M 1 Krzhyhu/
wklv phdqv wkdw ohvv kljk0vnloohg oderxu lv xvhg lq lqwhjudwhg surgxfwlrq1
Qrz/ li erwk oderxu pdunhwv duh ixoo| frpshwlwlyh/ u ghfolqhv xqwlo +Krph0
vxssolhg, orz0vnloohg oderxu u lv djdlq ixoo| hpsor|hg1 Vlqfh M lqfuhdvhv
dqg u ghfolqhv li | ghfuhdvhv/ wkh uhodwlyh zdjh xqdpeljxrxvo| ulvhv zlwk
wkh rshqlqj xs ri Iruhljq1 Wklv lv d vwdqgdug rxwfrph lq prghov ri wkh qhz
hqgrzphqw0edvhg wudgh wkhru|1
Surri1
Li wkh pdunhw iru orz0vnloohg oderxu lv xqlrqlvhg/ wkhq d gh0
folqh lq wudgh eduulhuv | lqfuhdvhv erwk wkh uhodwlyh zdjh udwh / dqg wkh hp0
sor|phqw ri kljk0vnloohg uhodwlyh wr orz0vnloohg oderxu M*u1
Sursrvlwlrq 6
Iroorzv gluhfwo| iurp f _u EM *_M / +47, dqg wkh surri ri
Sursrvlwlrq 51
Djdlq/ d ghfolqh lq wudgh eduulhuv | pdnhv rxwvrxuflqj pruh dwwudfwlyh/
lpso|lqj dq lqfuhdvh lq wkh zdjh udwh ri kljk0vnloohg oderxu M 1 Vlqfh wudgh
xqlrqv uhvwulfw wkh h{leolw| ri uhodwlyh zdjhv/ wkh hpsor|phqw ri kljk0vnloohg
uhodwlyh wr orz0vnloohg oderxu lqfuhdvhv1 Uhjduglqj wkh uhodwlyh zdjh / / wkhuh
duh wzr srvvleoh uhvxowv/ zklfk ghshqg rq zkhwkhu ru qrw wkhuh duh h{whuqdo
glvhfrqrplhv ri vfdoh iurp rxwvrxuflqj1
Surri1
Li rxwvrxuflqj grhv qrw h{klelw h{whuqdo glvhfrqrplhv ri vfdoh/
l1h1 li E ' f/ xqlrqv fdqqrw lq xhqfh uhodwlyh zdjhv1
Uhpdun 4
46 Qrwh
wkdw wklv uhvxow lv dovr wuxh xqghu d pruh jhqhudo vshflfdwlrq zklfk doorzv
iru krph0vxssolhg orz0vnloohg hpsor|phqw lq wkh grzqvwuhdp surfhvv ri wkh iudjphqwhg
surgxfwlrq prgh1 Lq frqwudvw wr wkh dqdo|vlv ri Vyhq Duqgw +4<<:,/ zh qg wkdw dq lqfuhdvh
lq rxwvrxuflqj +li lw vwlpxodwhv grzqvwuhdp dfwlylwlhv, pdnhv erwk lqwhjudwhg surgxfwlrq
dqg wkh grzqvwuhdp surfhvv ri iudjphqwhg surgxfwlrq pruh orz0vnloohg lqwhqvlyh/ vlqfh wkh
grzqvwuhdp surfhvv lv pruh kljk0vnloohg lqwhqvlyh wkdq lqwhjudwhg surgxfwlrq1 Lq whupv
ri jxuh 5 lq Duqgw +4<<:, s1 :7 wklv phdqv wkdw wkh ud| ri wkh idfwru lqwhqvlw| +K@O, ri
wkh grzqvwuhdp surfhvv lv vwhhshu wkdq wkh uhvshfwlyh ud| ri lqwhjudwhg surgxfwlrq1
44
Iroorzv gluhfwo| iurp wkh surriv ri Sursrvlwlrq 4 dqg 51
Li wkhuh duh qr glvhfrqrplhv ri vfdoh +l1h1 li wkhuh duh qr fdsdflw| uhvwulf0
wlrqv, lq rxu vlpsoh/ olqhdu krprjhqhrxv prgho iru jlyhq wudgh eduulhuv/ qrw
rqo| sulfhv/ exw dovr zdjhv duh ghwhuplqhg rq zruog pdunhwv dqg fdqqrw eh
lq xhqfhg e| Krph1 Wkxv/ Krph lv vpdoo lq hyhu| uhvshfw1 Lq wklv fdvh/
d ghfolqh lq wudgh frvwv |lhogv dq xszdug vkliw lq uhodwlyh zdjhv/ zklfk lv
lqghshqghqw ri xqlrq dfwlylwlhv dqg/ vlqfh xqlrqv wu| wr uhvwulfw wkh h{lelolw|
ri uhodwlyh zdjhv/ dq lqfuhdvh lq wkh hpsor|phqw ri kljk0vnloohg uhodwlyh wr
orz0vnloohg oderxu1
Surri1
Li rxwvrxuflqj h{klelwv h{whuqdo glvhfrqrplhv ri vfdoh/ l1h1 li
E : f/ xqlrqv kdyh vrph lpsdfw rq zdjh glvshuvlrq1
Uhpdun 5
Iroorzv gluhfwo| iurp wkh surriv ri Sursrvlwlrq 4 dqg 51
Li xqlrqv wu| wr uhvwulfw zdjh glvshuvlrq/ wkh| ixuwkhu lqfuhdvh wkh rxw0
vrxuflqj dfwlylwlhv ri Krph/ dv frpsduhg wr wkh fdvh ri frpshwlwlyh oderxu
pdunhwv1 Exw/ vlqfh rxwvrxuflqj h{klelwv glvhfrqrplhv ri vfdoh/ l1h1 vlqfh
E : f/ dq lqfuhdvh lq wkh djjuhjdwh dprxqw ri Krph*v rxwvrxuflqj pdnhv
rxwvrxuflqj ohvv dwwudfwlyh1 Wkhvh h{whuqdo glvhfrqrplhv ri vfdoh doorz iru
vrph lpsdfw ri wkh xqlrqv rq zdjh glvshuvlrq / / dowkrxjk Krph*v oderxu
ghpdqg lv vpdoo zlwk uhvshfw wr wkh orz0vnloohg oderxu vxsso| lq Iruhljq/
dqg surgxfwlrq ixqfwlrqv duh olqhdu krprjhqhrxv1 Wkxv/ li E : f/ dqg
wkh pdunhw iru orz0vnloohg oderxu lq Krph lv xqlrqlvhg/ d ghfolqh lq wudgh
eduulhuv | phdqv dq lqfuhdvh lq wkh hpsor|phqw ri kljk0vnloohg uhodwlyh wr
orz0vnloohg oderxu dqg d ghsuhvvhg lqfuhdvh lq uhodwlyh zdjhv1
Surri1
6 Gdwd Ghvfulswlrq
Lq rxu hpslulfdo dqo|vlv/ zh zdqw wr whvw zkhwkhu rxwvrxuflqj e| Dxvwuld
lqwr Hdvwhuq Hxursh dqg wkh iruphu Vrylhw Xqlrq kdv lqfuhdvhg vlqfh wkh
idoo ri wkh Lurq Fxuwdlq dqg/ li wklv lv wkh fdvh/ zkhwkhu dqg wr zklfk h{whqw
wkh lqfuhdvh lq rxwvrxuflqj pd| dffrxqw iru wkh gudpdwlf fkdqjhv lq uhodwlyh
hpsor|phqw lq pdqxidfwxulqj revhuyhg lq Dxvwuld*v xqlrqlvhg oderxu pdunhw1
614 Wudgh Gdwd
Zh xvh d vpdoo sdqho ri 53 Dxvwuldq QDFH 50gljlw lqgxvwulhv ryhu wkh shulrg
4<<304<<;1 H{sruwv dqg lpsruwv duh uhsruwhg e| Vwdwlvwlfv Dxvwuld1 Vlqfh
45
wkhuh lv qr gluhfw phdvxuh ri rxwvrxuflqj dydlodeoh/ zh xvh wkh frqvxpswlrq
ri lqwhuphgldwhv dqg wkh frqvxpswlrq ri lpsruwhg lqwhuphgldwhv/ uhsruwhg
dv d furvv0wdeoh +lqgxvwu| e| lqgxvwu|, dw wkh uhtxhvwhg fodvvlfdwlrq ohyho1
Frqwudu| wr Ihhqvwud ) Kdqvrq/ zkr xvhg d zlgh phdvxuh ri rxwvrxuflqj
lqfoxglqj doo lpsruwhg lqwhuphgldwh ru qdo jrrgv wkdw duh xvhg ri/ ru vrog
xqghu wkh eudqgqdph ri/ dq Dphulfdq up +Ihhqvwud ) Kdqvrq/ 4<<9/ s1
43:,/ zh dsso| d qduurz phdvxuh ri rxwvrxuflqj/ lqfoxglqj rqo| lqwhuphgldwhv
lpsruwhg iurp Hdvwhuq frxqwulhv/ zklfk duh surgxfhg dqg xvhg e| lqgxvwu| 1
Gxh wr wklv fkrlfh ri ghqlwlrq/ zh suredeo| xqghuhvwlpdwh +dowkrxjk wr d
vpdoo h{whqw, wkh lpsdfw zklfk wkh rshqlqj xs ri wkh Hdvwhuq frxqwulhv kdg
rq wkh Dxvwuldq oderxu pdunhw dv d zkroh/ vlqfh zh gr qrw frqvlghu lpsruwhg
lqwhuphgldwhv surgxfhg dqg xvhg e| glhuhqw lqgxvwulhv1 Pruhryhu/ zh xq0
ghuhvwlpdwh wkh oderxu pdunhw hhfwv ri ryhudoo rxwvrxuflqj/ vlqfh zh irfxv
rqo| rq rxwvrxuflqj wr Hdvwhuq frxqwulhv1 Lq frqwudvw wr Vodxjkwhu +5333,/
zh gr qrw uhvwulfw rxu phdvxuh ri rxwvrxuflqj wr pxowlqdwlrqdo hqwhusulvhv
khdgtxduwhuhg lq wkh Krph frxqwu| xqghu frqvlghudwlrq +l1h1 Dxvwuld,1 Zh
frqvwuxfw rxu qduurz phdvxuh ri rxwvrxuflqj wr Hdvwhuq frxqwulhv lq wkh
iroorzlqj zd|
47
lpsruwv|
| ' Elqwhuphgldwhv| 
~}
€ jurvv surgxfwlrq|

zruog
~}
€
lpsruwv|
lpsruwv|
H dvwhuq frx qwulhv
~}
zruog
/
€
+4<,
zkhuh wkh uvw whup +, lqglfdwhv lqwhuphgldwhv zklfk duh surgxfhg dqg
xvhg e| lqgxvwu| / dq lqirupdwlrq zklfk lv surylghg e| lqsxw0rxwsxw +LR,
wdeohv1 Wkh vhfrqg whup + , uhsuhvhqwv wkh lpsruw rshqqhvv ri lqgxvwu| /
dqg wkh odvw whup + , lqglfdwhv wkh vkduh ri lpsruwv iurp Hdvwhuq frxqwulhv
zlwk uhvshfw wr ryhudoo lpsruwv1 + , lv uhsruwhg lq Dxvwuldq LR vwdwlvwlfv/
zkhuhdv iru 4<<8 rqo| +, lv dydlodeoh1 Zh wkhuhiruh froohfw wkh uhpdlqlqj
lqirupdwlrq iurp wudgh vwdwlvwlfv dqg lqwhusrodwh wkh vhulhv1
Wudgh eduulhuv +dssolhg prvw0idyrxuhg0qdwlrq wdul udwh/ A / dqg wkh
iuhtxhqf| udwlrv iru qrq0wdul eduulhuv/ A , duh iurp RHFG dqg XQHVFR
vwdwlvwlfv1 Gdwd djdlq zhuh lqwhusrodwhg dqg wudqvsrvhg wr wkh QDFH 50gljlw
47 Qrwh wkdw wklv phdvxuhv rxwvrxuflqj lq
devroxwh whupv1 Lq wkh hpslulfdo dqdo|vlv zh xvh
wklv phdvxuh hlwkhu lq shufhqw ri jurvv surgxfwlrq ru ri wrwdo frqvxpswlrq ri lqwhuphgldwhv
e| lqgxvwu|1
46
ohyho1 A wdeohv uhsruw }hur iuhtxhqf| iru d frxsoh ri lqgxvwulhv +|hduv,>
krzhyhu/ wklv grhv qrw doorz xv wr vlpso| wdnh wkh orjv1 Khqfh/ zh frqvwuxfw
d gxpp| yduldeoh + A (,/ lqglfdwlqj zkhwkhu QWEv duh dssolhg dw doo1
Pruhryhu/ zh wdnh wkh orjv ri QWE dqg pxowlso| wkh uhvxowlqj yduldeoh zlwk
A (1 Wklv uhvxowv lq dq lqwhudfwlrq whup + A U ,/ zklfk fdq rqo| eh
lqwhusuhwhg wrjhwkhu zlwk A (1
615 Vnloo dqg Xqlrq Gdwd
Zh froohfw lqirupdwlrq uhjduglqj vnloov +hpsor|phqw dqg zdjhv, iurp wkh
Dxvwuldq Orkq xqg Jhkdowvvwdwlvwln surylghg e| wkh Dxvwuldq Fkdpehu
ri Frpphufh/ zklfk lv dydlodeoh iru lqgxvwu| fdwhjrulhv vlplodu wr QDFH1
Qrwhzruwk| dqg lq frqwudvw wr rwkhu phdvxuhv/ wkhvh vwdwlvwlfv fodvvli| hp0
sor|hhv dffruglqj wr wkhlu xwlolvdwlrq udwkhu wkdq dffruglqj wr wkhlu hgxfdwlrq
ru wudlqlqj1 Zh ghulyh d phdvxuh iru ghqlqj kljk0vnloohg dqg orz0vnloohg e|
djjuhjdwlqj wkh fruuhvsrqglqj vxejurxsv ri hpsor|hhv1 Dv kljk0vnloohg eoxh0
froodu zrunhuv/ zh ghqh wkh vxp ri txdolhg dqg kljko| txdolhg zrunhuv1
Kljk0vnloohg zklwh0froodu zrunhuv duh shuvrqv zkr kdyh mrev zklfk ghpdqg
vshfldo txdolfdwlrqv +lqfoxghg lq jurxs LY/ Y/ ru YL ri wkh uhvshfwlyh vwdwlv0
wlfv,1 Wkh uhpdlqlqj hpsor|hhv duh fodvvlhg dv orz0vnloohg1
Gdwd rq xqlrq phpehuvkls zdv surylghg e| ydulrxv vhfwlrqv ri wkh Dxv0
wuldq Wudgh Xqlrq Frqihghudwlrq/ zklfk lv d fhqwudoo| pdqdjhg rujdqlvdwlrq1
Wkhvh vhfwlrqv fryhu hlwkhu rqh ru pruh lqgxvwulhv dqg edujdlq ryhu zdjhv
iru wkh uhvshfwlyh jurxsv ri zrunhuv1 Dffruglqj wr wkh rujdqlvdwlrq ri xqlrqv
dqg zdjh vhwwlqj sudfwlfhv/ wkh ghjuhh ri rujdqlvdwlrq +-C, ydulhv rqo| ryhu
44 jurxsv ri lqgxvwulhv1 -C lv ghqhg dv iroorzv
-C| '
xqlrqlvdwlrq udwh|
xqlrqlvdwlrq udwh|
/
+53,
zklfk phdvxuhv wkh ghjuhh ri xqlrqlvdwlrq ri lqgxvwu| / uhodwlyh wr wkh
dyhudjh lqgxvwu|/ lq hdfk |hdu |1
616 Uhpdlqlqj yduldeohv
Phgldq up vl}h dqg sulfh0frvw pdujlqv duh yduldeohv zklfk dgglwlrqdoo| pd|
dffrxqw iru wkh srzhu ri hpsor|hhv lq zdjh edujdlqlqj1 Phgldq up vl}h lv
d yduldeoh/ lqfoxghg lq wkh gdwd froohfwhg lq wkh prqwko| ZLIR lqyhvwphqw
47
vxuyh| ri Dxvwuldq pdqxidfwxulqj upv +QDFH 50gljlw,1 Zh ghqh wkh sulfh0
frvw pdujlq yduldeoh dv wkh vkduh ri ydoxh dgghg plqxv zdjh frvwv lq jurvv
surgxfwlrq1 Lq irupdwlrq rq jurvv surgxfwlrq/ ydoxh dgghg/ qrplqdo fdslwdo
vwrfnv dqg fdslwdo gh dwruv +doo QDFH 50gljlw, lv surylghg e| Vwdwlvwlfv Dxv0
wuld1 Wkh shufhqwdjh ri krxuv ri fdslwdo vwrfn lq xvh lv dovr uhsruwhg lq wkh
ZLIR lqyhvwphqw vxuyh|1
Ilqdoo|/ wkh xqlw oderxu frvwv ri wkh Hdvwhuq hfrqrplhv duh ghulyhg e|
xvlqj hpsor|phqw/ zdjh/ dqg jurvv surgxfwlrq gdwd +lqfoxglqj surgxfwlrq
lqglfhv, idwwdlqhg urp lqgxvwu| gdwd rq : fhqwudo dqg Hdvwhuq Hxurshdq
frxqwulhv/ zklfk zhuh nlqgo| surylghg e| wkh Ylhqqd Lqvwlwxwh ri Frpsdudwlyh
Hfrqrplf Vwxglhv +ZLLZ,1 Wkhvh gdwd duh uhsruwhg lq LVLF fodvvlfdwlrq
dqg lq rzq fxuuhqf|1 Zh fdofxodwhg xqlw oderxu frvwv iru hdfk frxqwu| dqg
lqgxvwu|/ xvlqj 4<<6 dv wkh edvh |hdu1 Zh frqyhuwhg wkh vhulhv dffruglqj wr
wkh {hg h{fkdqjh udwh +4<<6, dqg zhljkwhg wkhp zlwk uhvshfw wr lqgxvwu|0
vshflf uhdo jurvv surgxfwlrq ri wkh uhvshfwlyh Hdvwhuq frxqwu| +edvh |hdu
4<<6,/ wr rewdlq wkh uhtxluhg yduldeoh1 Ehfdxvh ri wkh odfn ri gdwd rq phpehu
frxqwulhv ri wkh iruphu Vrylhw Xqlrq dqg +sduwo|, ri iruphu \xjrvodyld/ wklv
vkrxog eh vhhq dv dq xsshu0erxqg dssur{lpdwlrq ri xqlw oderxu frvwv lq wkh
Hdvwhuq frxqwulhv dv d zkroh1
7 Hpslulfdo Dqdo|vlv
Iroorzlqj rxu wkhruhwlfdo prgho/ wkh hpslulfdo dqdo|vlv surfhhgv lq wzr vwhsv1
Iluvw/ zh vkdoo surylgh lqvljkwv rq wkh ghwhuplqdqwv ri Dxvwuldq rxwvrxuflqj
wr Hdvwhuq frxqwulhv zklfk edvlfdoo| phdqv orrnlqj iru hpslulfdo hylghqfh ri
Sursrvlwlrq 41 Vhfrqgo|/ frqwuroolqj iru rwkhu fkdqqhov ri lq xhqfh +h{sruwv/
lpsruwv/ qrq0qhxwudo whfkqlfdo fkdqjh/ hwf1,/ zh duh lqwhuhvwhg lq lvrodwlqj wkh
hhfw ri rxwvrxuflqj rq wkh hpsor|phqw ri kljk0vnloohg uhodwlyh wr orz0vnloohg
oderxu1 Wklv phdqv zh vkrxog vhdufk iru hpslulfdo hylghqfh ri Sursrvlwlrq
61
714 Ghwhuplqdqwv ri Rxwvrxuflqj
Wdeoh 4 uhsruwv uhvxowv ri {hg hhfwv sdqho uhjuhvvlrqv ri rxwvrxuflqj +LA ,
rq wkh zhljkwhg dyhudjh ri Hdvwhuq xqlw oderxu frvwv +Lu. ,/ wudgh eduulhuv
+A ,/ dqg wkh wzr yduldeohv iru qrq0wdul eduulhuv wr wudgh + A (/ A U ,
phqwlrqhg deryh1
48
: Wdeoh 4 Zh uhsruw wzr glhuhqw hvwlpdwlrqv/ zkhuh wkh glhuhqfh lv rqo| lq wkh
phdvxuh ri rxwvrxuflqj1 Lq Vshflfdwlrq L/ rxwvrxuflqj lv phdvxuhg lq whupv
ri jurvv surgxfwlrq +t ,/ dqg lq Vshflfdwlrq LL lq whupv ri lqwhuphgldwh
frqvxpswlrq +U ,1 Wkh iruphu phdvxuh frpsulvhv wzr hhfwv= wkh +srvvleoh,
jhqhudo lqfuhdvh lq wkh iudjphqwdwlrq +sxufkdvhv ri lqgxvwu| lqwhuphgldwhv
e| lqgxvwu| zlwklq dqg dfurvv erughuv, ri wkh dyhudjh lqgxvwu| dqg wkh
ghyhorsphqw ri wkh vkduh ri Hdvwhuq frxqwulhv lq rxwvrxuflqj dfwlylwlhv1 Wkh
odwwhu phdvxuh rqo| frpsulvhv wkh lqfuhdvh lq wkh vkduh ri Hdvwhuq frxqwulhv
lq ryhudoo iudjphqwdwlrq +lqwhuphgldwh frqvxpswlrq ri lqgxvwu| jrrgv e|
lqgxvwu| ,1 Wkh uhvxowv eurdgo| frqup rxu ylhz wkdw rxwvrxuflqj wr Hdvwhuq
frxqwulhv lv orz0frvw vhhnlqj/ uh hfwhg e| d qhjdwlyh frh!flhqw iru Lu. 1 D
uhgxfwlrq lq wudgh eduulhuv vkrxog eh dvvrfldwhg zlwk juhdwhu dfwlylw| lq rxw0
vrxuflqj1 Wkh srvlwlyh vljq iru A ( vkrxog suredeo| qrw eh lqwhusuhwhg
fdxvdoo|1 Wklv yduldeoh kdv doprvw qr yduldwlrq lq wkh wlph glphqvlrq dqg
ghprqvwudwhv wkdw qrq0wdul edulhuv rffxu lq lqgxvwulhv zkhuh rxwvrxuflqj lv
kljk1 Krzhyhu/ A U vkrzv d qhjdwlyh vljq zklfk lv lqvljqlfdqw1 Iurp d
wkhruhwlfdo srlqw ri ylhz/ zh zrxog kdyh h{shfwhg d vljqlfdqwo| qhjdwlyh lp0
sdfw ri A U rq rxwvrxuflqj1 Qhyhuwkhohvv/ zh pd| frqfoxgh wkdw rxu vwru|
vhhpv wr vkhg vrph xvhixo oljkw rq wkh ghwhuplqdqwv ri Dxvwuldq rxwvrxuflqj
lqwr Hdvwhuq frxqwulhv1
715 Hpsor|phqw Hhfwv ri Rxwvrxuflqj
Wkh vhfrqg vwhs ri rxu dqdo|vlv lv frqfhuqhg zlwk wkh hpsor|phqw hhfwv ri
rxwvrxuflqj1 Zh sursrvh wkh iroorzlqj vshflfdwlrq lq wkh hvwlpdwlrq vhwxs
-7|
'
q f n q  -`| n q 2ft| n q t| n q e gt| n q D LA| +54,
n> n b | n 0|
zkhuh -7 lv wkh hpsor|phqw ri kljk0vnloohg oderxu uhodwlyh wr orz0vnloohg
oderxu +M*u,/ -` lv wkh uhodwlyh zdjh udwh +M *u ,/ ft lv h{sruw rshqqhvv
lq whupv ri jurvv surgxfwlrq/ t lv lpsruwv plqxv rxwvrxuflqj wr Hdvwhuq
frxqwulhv lq whupv ri jurvv surgxfwlrq/ gt lv wkh fdslwdo0rxwsxw udwlr +uhdo
vwrfn ri fdslwdo lq whupv ri jurvv surgxfwlrq,/ LA lv rxwvrxuflqj djdlq
+uh hfwhg lq wkh hvwlpdwlrqv dv wkh wzr srvvleoh ghqlwlrqv/ t dqg U ,/
49
dqg > +b| , uhsuhvhqwv lqgxvwu| +wlph, vshflf {hg hhfwv1 Krzhyhu/ wklv
vshflfdwlrq lqyrnhv dq hfrqrphwulf sureohp ri hqgrjhqhlw| ehwzhhq uhod0
wlyh hpsor|phqw +-7 , dqg uhodwlyh zdjhv +-` ,1 Dgglwlrqdoo|/ zh pljkw
idfh d sureohp ri wkh hqgrjhqhlw| ri uhodwlyh hpsor|phqw +-7 , dqg rxw0
vrxuflqj +L A ,1 Hqgrjhqhlw| ohdgv wr eldvhg dqg lqfrqvlvwhqw hvwlpdwhv ri
wkh ohdvw vtxduhv hvwlpdwlrq1 Iruwxqdwho|/ rqh fdq ryhufrph wklv sureohp
e| wkh xvh ri lqvwuxphqwdo yduldeohv +LY,/ zklfk djdlq hqdeohv xv wr rewdlq
frqvlvwhqw hvwlpdwhv1 Wdeoh 5 uhsruwv wkh uhvxowv ri dsso|lqj LY iru uhodwlyh
zdjhv +-` , dqg rxwvrxuflqj +LA , lq Vshflfdwlrqv 4 dqg 5/ dqg iru uhod0
wlyh zdjhv rqo| +wuhdwlqj rxwvrxuflqj dv h{rjhqrxv, lq Vshflfdwlrqv 6 dqg
71 Qrwh wkdw zh djdlq glvwlqjxlvk ehwzhhq rxwvrxuflqj lq whupv ri jurvv
surgxfwlrq +t / Vshflfdwlrqv 4 dqg 6, dqg lq whupv ri lqwhuphgldwh frq0
vxpswlrq +U / Vshflfdwlrqv 5 dqg 7,1 Ryhudoo qrq0qhxwudo whfkqlfdo fkdqjh
lv frqwuroohg iru e| wkh lqwurgxfwlrq ri {hg wlph hhfwv1 Lqgxvwu| vshflf
hhfwv duh zlshg rxw e| {hg lqgxvwu| hhfwv1 Dffruglqj wr wkh qrupdolw|
whvwv/ wkh gdwdedvh h{klelwv vrxqg surshuwlhv iru wkh k|srwkhvlv whvwv1 Wkh
uhsruwhg Udpvh| UHVHW whvwv frqup wkdw wkhuh pljkw eh dgglwlrqdo xqh{0
kdxvwhg lqirupdwlrq zklfk h1j1 frxog eh gxh wr xqghuo|lqj qrq0olqhdulwlhv1
Zh wkhuhiruh vkrxog lqwhusuhw wkh hvwlpdwlrq uhvxowv zlwk fduh1
: Wdeoh 5 Rxwvrxuflqj wr Hdvwhuq frxqwulhv h{huwv d vljqlfdqwo| srvlwlyh lpsdfw
rq wkh hpsor|phqw ri kljk0vnloohg zrunhuv uhodwlyh wr wkh orz0vnloohg zrun0
huv1 Wklv lv d urexvw uhvxow/ zklfk grhv qrw ghshqg rq zkhwkhu zh wuhdw
rxwvrxuflqj dv h{rjhqrxv +Vshflfdwlrqv 6 dqg 7, ru qrw +Vshflfdwlrqv 4
dqg 5,1 Uhodwlyh hpsor|phqw qhjdwlyho| +exw qrw vljqlfdqwo|, ghshqgv rq
uhodwlyh zdjhv1 Doo rwkhu h{sodqdwru| yduldeohv h{klelw d vljqlfdqw lpsdfw1
H{sruw rshqqhvv dqg lpsruw rshqqhvv duh lqfoxghg wr frqwuro iru wudgh hhfwv
zklfk lqfuhdvh wkh h!flhqf| ri surgxfwlrq +Juhhqdzd| hw do1/ 4<<<,1 Zh qg
wkdw dq lqfuhdvh lq Dxvwuldq lqgxvwu| h{sruwv kdv dq hpsor|phqw hhfw lq
idyrxu ri kljk0vnloohg zrunhuv1 Wkh rssrvlwh krogv wuxh iru lpsruwv1 Wkh
odwwhu lv gxh wr d vlpsoh glvsodfhphqw hhfw/ dv lw lv zhoo0nqrzq wkdw Dxv0
wuld lv dq lpsruwhu ri kljk0vnloo0lqwhqvlyh jrrgv/ wkhuhe| uhgxflqj wkh uhodwlyh
ghpdqg iru kljk0vnloohg hpsor|hhv dw Krph1 D kljkhu fdslwdo lqwhqvlw| lv dv0
vrfldwhg zlwk d orzhu udwlr ri kljk0vnloohg uhodwlyh wr orz0vnloohg hpsor|phqw1
Dw wkh Dxvwuldq lqgxvwu| ohyho/ zh gr qrw revhuyh d kljk srvlwlyh fruuhodwlrq
ehwzhhq fdslwdo dqg kljk0vnloohg oderxu hpsor|phqw/ dv lq wkh X1V1 +vhh h1j1
4:
Ehupdq hw do1/ 4<<7, dqg rwkhu frxqwulhv1 Lq frqvwudvw/ d pdmrulw| ri wkh fds0
lwdo lqwhqvlyh lqgxvwulhv frpsulvh odujh iruphu vwdwh0rzqhg hqwhusulvhv zklfk
duh vshfldolvhg lq wkh surgxfwlrq ri orz0vnloo0lqwhqvlyh jrrgv1 Dffruglqj wr
wkh I0whvwv/ erwk {hg lqgxvwu| hhfwv dqg rxwolhu gxpplhv frqwulexwh uho0
hydqw lqirupdwlrq1 Lqwhuhvwlqjo|/ wklv lv qrw wkh fdvh iru ryhudoo h{rjhqrxv/
qrq0qhxwudo whfkqlfdo fkdqjh +{hg wlph hhfwv,1
Exvh +4<<5, dqg Vkhd +4<<:, uhpdun wkdw wkh lqfoxvlrq ri luuhohydqw dqg
ryhulghqwli|lqj lqvwuxphqwv lqfuhdvhv wkh qlwh vdpsoh eldv ri wkh LY hvwl0
pdwru1 Wkhuhiruh/ lq wkh lqvwuxphqwdo yduldeoh 5VOV uhjuhvvlrqv/ rqo| wkrvh
lqvwuxphqwv duh xvhg zklfk kdyh d vljqlfdqw lpsdfw lq wkh uvw vwdjh uh0
juhvvlrqv1 Wkhvh duh wkh ghjuhh ri xqlrq rujdqlvdwlrq +-C,/ wkh sulfh0frvw
pdujlq +  ,/ phgldq lqgxvwu| up vl}h + 7U~. ,/ dqg wkh prvw idyrxuhg
qdwlrq wdul udwh +A , lq doo vshflfdwlrqv1 Ri frxuvh/ lq Vshflfdwlrqv 4 dqg
5/ uhodwlyh zdjhv +-` , dqg rxwvrxuflqj +t / U , duh lqvwuxphqwhg zlwk wkh
vdph yduldeohv1 Dgglwlrqdoo|/ zh dsso| Vkhd*v +4<<:, sduwldo -R2 whvw lq rughu
wr fkhfn iru lqvwuxphqwdo uhohydqfh1 Zh qg wkdw lqvwuxphqwv gr kdyh d
uhohydqw lpsdfw/ dowkrxjk zh revhuyh wkdw wkh lqvwuxphqwdwlrq ri rxwvrxuf0
lqj lv ri hyhq juhdwhu uhohydqfh wkdq wkdw ri uhodwlyh zdjhv1 Dgglwlrqdoo| zh
dsso| wkh Gdylgvrq ) PdfNlqqrq +4<<6, whvw rq lqvwuxphqw ydolglw|1 Wklv
lv d vshflfdwlrq whvw iru wkh fruuhodwlrq ri wkh lqvwuxphqwv zlwk wkh huuru
whup lq wkh vhfrqg vwdjh uhjuhvvlrq1 Lq rxu fdvh/ wkh whvw vwdwlvwlfv gr qrw uh0
mhfw wkh k|srwkhvlv ri surshu vshflfdwlrq dqg lqvwuxphqwdwlrq lq dq| ri wkh
vshflfdwlrqv ri Wdeoh 51 Zh pd| wkhuhiruh frqfoxgh iurp rxu dqdo|vlv wkdw
rxwvrxuflqj vkrxog eh wuhdwhg dv hqgrjhqrxv lq wkh hpslulfdo vhwxs1 Ljqrulqj
wkh srvvleoh hqgrjhqhlw| zrxog uhvxow lq d grzqzdug eldv ri wkh hvwlpdwhg
hhfw ri rxwvrxuflqj rq uhodwlyh hpsor|phqw1
Dv lv zhoo nqrzq/ wkh wzr0vwdjh ohdvw vtxduhv +5VOV, lqvwuxphqwdo ydul0
deohv +LY, hvwlpdwru lv frqvlvwhqw/ dowkrxjk lw qhjohfwv lqirupdwlrq frqwdlqhg
lq rwkhu htxdwlrqv/ ehlqj rqo| d olplwhg lqirupdwlrq phwkrg1 Wkhuhiruh/ wklv
whfkqltxh lv ohvv h!flhqw1 Lq rughu wr ryhufrph wklv sureohp/ rqh kdv wr frq0
vlghu ixoo lqirupdwlrq ru v|vwhp phwkrgv ri hvwlpdwlrq +h1j1 wkuhh0vwdjh ohdvw
vtxduhv/ 6VOV/ ru ixoo lqirupdwlrq pd{lpxp olnholkrrg hvwlpdwlrq/ ILPO,1
Iurp dq hfrqrphwulf srlqw ri ylhz/ v|vwhpv hvwlpdwlrq dovr hqdeohv xv wr
ryhufrph dqrwkhu sureohp1 Lq wkh suhvhqfh ri wzr ru pruh hqgrjhqrxv ydul0
deohv +zklfk lv wkh fdvh lq rxu h{dpsoh,/ 5VOV rqo| doorzv iru d vlqjoh vhw
48
U5s phdvxuhv wkh dgglwlrqdo frqwulexwlrq ri wkh lqvwuxphqw vhw iru wkh h{sod0
qdwlrq ri hdfk hqgrjhqrxv yduldeoh1
48 Sduwldo
4;
ri lqvwuxphqwv iru wkh zkroh vhw ri hqgrjhqrxv yduldeohv1 Wklv pljkw sur0
ylgh ohvv wkhruhwlfdo vxssruw wkdq d glvwlqfw lghqwlfdwlrq dqg lw duwlfldoo|
fdxvhv sureohpv ri luuhohydqfh lq wkh suhvhqfh ri pxowlfrolqhdulw| ehwzhhq
sduwv ri wkh vhwv ri lqvwuxphqwv/ hvshfldoo| zkhq wkh lqvwuxphqwv duh qrw h{0
dfwo| h{rjhqrxv +Vkhd/ 4<<:, 1 Wkh odwwhu uhvxowv lq wkh deryh phqwlrqhg
qlwh vdpsoh eldv ri wkh hvwlpdwru1 Zh wkhuhiruh hvwlpdwh irxu vshflfdwlrqv
dffruglqj wr 6VOV +vhh Wdeoh 6,= Wzr ri wkhp xvh wkh vdph vhw ri lghqwli|0
lqj yduldeohv iru erwk uhodwlyh zdjhv dqg rxwvrxuflqj +Vshflfdwlrqv D dqg
E, dqg duh h{solflwo| lq dffrugdqfh zlwk Vshflfdwlrqv 4 dqg 5 lq Wdeoh 51
Wkh uhpdlqlqj wzr vshflfdwlrqv +F dqg G,/ glvwlqjxlvk ehwzhhq wkh vhw ri
lghqwli|lqj dvvxpswlrqv iru uhodwlyh zdjhv +ghjuhh ri rujdqlvdwlrq ri wudgh
xqlrqv/ -C> phglxp lqgxvwu| up vl}h/ 7U~. > dqg sulfh0frvw pdujlq/
 , dqg iru rxwvrxuflqj +wdul eduulhuv/ A > qrq0wdul eduulhuv/ A (
dqg A U > dqg xqlw oderxu frvwv lq Hdvwhuq hfrqrplhv/ L u. ,1
49
: Wdeoh 6 Dv fdq hdvlo| eh vhhq/ wkhuh lv rqo| d plqru glhuhqfh ehwzhhq Vshfl0
fdwlrq D +E, dqg Vshflfdwlrq 4 +5,/ zklfk lv sulpdulo| hylghqw lq orzhu
vwdqgdug huuruv dqg lv gxh wr wkh h!flhqf| jdlq ri 6VOV1 Dsso|lqj glhuhqw
vhwv ri lghqwli|lqj dvvxpswlrqv iru uhodwlyh zdjhv dqg rxwvrxuflqj xqghuslqv
wkh urexvwqhvv ri rxu uhvxowv1 Wkh lpsdfw ri rxwvrxuflqj rq uhodwlyh hpsor|0
phqw lv dozd|v vljqlfdqwo| srvlwlyh1 Pruhryhu/ wkh hhfwv duh yhu| forvh
dqg ehwzhhq 313; dqg 3145 shufhqw1 Ryhu wkh odvw ghfdgh/ zh revhuyhg dq
lqfuhdvh lq rxwvrxuflqj wr wkh Hdvwhuq hfrqrplhv ri derxw 44 shufhqw dqg dq
4:
49 Vkhd
+4<<:/ s1 67;, qrwhv iru 5VOV wkdw orz uhohydqfh lqfuhdvhv wkh lqfrqvlvwhqf| ri
LY hvwlpdwhv zkhqhyhu lqvwuxphqwv duh qrw shuihfwo| h{rjhqrxv1 Hyhq zkhq lqvwuxphqwv
duh shuihfwo| h{rjhqrxv/ orz uhohydqfh lqfuhdvhv dv|pswrwlf vwdqgdug huuruv dqg wkhuhiruh
uhgxfhv wkh srzhu ri k|srwkhvlv whvwv1 Pruhryhu/ orz uhohydqfh fdq fdxvh wkh qlwh0vdpsoh
glvwulexwlrq ri LY hvwlpdwhv wr ghsduw frqvlghudeo| iurp wkh dv|pswrwlf qrupdo glvwulex0
wlrq1111 Wkh vdph/ ri frxuvh/ krogv wuxh iru 6VOV1
4: Uhphpehu wkdw rxwvrxuflqj lq whupv ri jurvv surgxfwlrq +R\ , lv d frpsrvlwh ri wzr
hhfwv/ qdpho| ri d fkdqjh lq wkh vkduh ri Hdvwhuq frxqwulhv lq lqwhuphgldwh lpsruwv
dqg d fkdqjh lq wkh vkduh ri lqwhuphgldwhv lq jurvv surgxfwlrq +d jhqhudo fkdqjh lq wkh
iudjphqwdwlrq ri wkh ydoxh dgghg fkdlq,1 Wklv phdvxuh pljkw eh vxshulru iru rxu sxusrvh/
sduwlfxoduo| dv frpsduhg wr rxwvrxuflqj +dfurvv erughuv, lq whupv ri wkh frqvxpswlrq
ri lqgxvwu| lqwhuphgldwhv +RL,/ zklfk rqo| uh hfwv wkh fkdqjh lq wkh uroh ri wkh Hdvwhuq
frxqwulhv lq iudjphqwdwlrq uhodwlyh wr rwkhuv +h{klelwhg e| d orzhu frh!flhqw ri rxwvrxuflqj
lq Vshflfdwlrqv E dqg G dv frpsduhg wr D dqg F,1
4<
lqfuhdvh lq uhodwlyh hpsor|phqw ri derxw 718 shufhqw s1d1 Wkxv/ rxu hfrqr0
phwulf uhvxowv zrxog ohdg xv wr wkh frqfoxvlrq wkdw rxwvrxuflqj wr wkh Hdvwhuq
frxqwulhv dffrxqwv iru derxw d txduwhu ri wkh fkdqjh lq uhodwlyh hpsor|phqw/
lq idyrxu ri kljk0vnloohg oderxu1
8 Frqfoxglqj Uhpdunv
Wkh rshqlqj xs ri Hdvwhuq Hxursh dqg wkh iruphu Vrylhw Xqlrq/ iroorzlqj wkh
idoo ri wkh Lurq Fxuwdlq lqgxfhg d srolwlfdo dqg hfrqrplf +uh,rulhqwdwlrq ri
wkhvh frxqwulhv zlwk uhvshfw wr wkh HX +pdlqo| lq whupv ri wudgh dqg iruhljq
gluhfw lqyhvwphqw/ IGL, dw udwkhu udslg sdfh1 Sdudooho wr wklv ghyhorsphqw/
wkh Hdvwhuq frxqwulhv dovr prghuqlvhg dqg h{sdqghg wkhlu lqiudvwuxfwxuh id0
flolwlhv/ zkloh pdlqwdlqlqj uhodwlyho| orz ohyhov ri xqlw oderxu frvwv1 Krzhyhu/
vr idu dqdo|vhv kdyh prvwo| ehhq frqfhqwudwhg rq wkh fkdqjh lq whupv ri ryhu0
doo wudgh dqg IGL dqg 0 lq d ihz h{dpsohv 0 rq wkhlu lpsdfw rq wkh oderxu
pdunhwv lq wkh Zhvwhuq hfrqrplhv1 Lq frqwudvw/ wkh dqdo|vlv ri wudgh lq lq0
whuphgldwhv +l1h1 rxwvrxuflqj, dqg lwv lpsdfw rq wkh oderxu pdunhw kdv ehhq
vfdufh1 Dffruglqj wr wkh vw|olvhg idfwv/ pdq| ri wkh vpdoohu Zhvwhuq Hx0
urshdq frxqwulhv duh uhodwlyho| rshq wr lpsruwv +hvshfldoo| ri lqwhuphgldwhv,
iurp wkh Hdvwhuq frxqwulhv1 Dgglwlrqdoo|/ lq pdq| ri wkhvh vpdoohu hfrqrplhv/
zdjhv +prvwo| ri wkh orzhu vnloohg, duh edujdlqhg e| wudgh xqlrqv1 Wklv eulqjv
wkh txhvwlrq ri wkh fdxvhv ri lqfuhdvhg rxwvrxuflqj wr wkh orz0zdjh Hdvwhuq
frxqwulhv dqg lwv frqvhtxhqfhv rq hpsor|phqw lq vpdoo Zhvwhuq Hxurshdq
hfrqrplhv lqwr wkh olpholjkw ri lqwhuhvw1
Zh suhvhqw d prgho lq zklfk wkh wudgh ri Krph +d vpdoo hfrqrp|, zlwk
Iruhljq +lq rxu frqwh{w wr eh dvvrfldwhg zlwk wkh Hdvwhuq hfrqrplhv, lv lp0
shghg/ zkloh Krph wudghv iuhho| zlwk wkh uhvw ri wkh zruog +URZ,1 Zh
irfxv rq d krprjhqhrxv lqgxvwuldolvhg jrrg/ wkh surgxfwlrq ri zklfk pd| eh
hlwkhu lqwhuqdo +xvlqj orz0vnloohg dqg kljk0vnloohg oderxu dw Krph, ru iudj0
phqwhg dfurvv erughuv +xvlqj orz0vnloohg deurdg dqg rqo| kljk0vnloohg oderxu
dw Krph,1 Lq frqwudvw wr rwkhu prghov ri iudjphqwdwlrq/ rxuv vkhgv vrph oljkw
rq wkh gulylqj irufhv ri rxwvrxuflqj dqg lghqwlhv d frqglwlrq xqghu zklfk
rxwvrxuflqj e| d vpdoo frxqwu| lqfuhdvhv zlwk d idoo lq wudgh eduulhuv1 Pruh0
ryhu/ zh vkrz wkdw li Krph*v oderxu pdunhwv duh frpshwlwlyh/ dq lqfuhdvh
lq rxwvrxuflqj udlvhv uhodwlyh zdjhv lq idyrxu ri kljk0vnloohg oderxu/ exw kdv
qr lpsdfw rq wkh hpsor|phqw ri kljk0vnloohg uhodwlyh wr orz0vnloohg oderxu1
Li wkh pdunhw iru orz0vnloohg oderxu lv xqlrqlvhg/ zh qg wkdw d vwlpxodwlrq
53
ri rxwvrxuflqj udlvhv erwk uhodwlyh zdjhv dqg uhodwlyh hpsor|phqw lq Krph1
Uhjduglqj uhodwlyh zdjhv/ wkhuh duh wzr srvvleoh rxwfrphv1 Iluvw/ li wkhuh duh
qr h{whuqdo glvhfrqrplhv ri vfdoh/ xqlrqv orvh frqwuro ryhu zdjhv1 Vhfrqgo|/ li
rxwvrxuflqj h{klelwv h{whuqdo glvhfrqrplhv ri vfdoh/ xqlrqv ghsuhvv wkh vkliw
ri uhodwlyh zdjhv1
Zh dsso| rxu wkhruhwlfdo prgho wr wkh fdvh ri Dxvwuld zklfk/ uhjduglqj
lwv ohyho dqg jurzwk ri rshqqhvv wr lpsruwv +hvshfldoo| rxwvrxuflqj, ylv0ã0
ylv wkh Hdvwhuq hfrqrplhv/ lv d yhu| surqrxqfhg h{dpsoh ri d vpdoo Zhvwhuq
Hxurshdq hfrqrp|1 Zh qg wkdw rxu wkhruhwlfdo vwru| lv zlgho| lq dffrugdqfh
zlwk wkh hpslulfdo uhvxowv1 Rxwvrxuflqj wr Hdvwhuq frxqwulhv lv orz0zdjh
vhhnlqj1 Pruhryhu/ vkulqnlqj wudgh eduulhuv duh dq lpsruwdqw vwlpxoxv ri
rxwvrxuflqj wr wkh Hdvwhuq Hxurshdq frxqwulhv dqg wkh iruphu Vrylhw Xqlrq1
Uhjduglqj wkh oderxu pdunhw/ zh hvwlpdwh wkh lpsdfw ri rxwvrxuflqj rq
uhodwlyh hpsor|phqw/ frqwuroolqj iru rwkhu qrq0qhxwudo lq xhqfhv1 Zh qg
wkdw d rqh shufhqw lqfuhdvh lq rxwvrxuflqj wr wkh Hdvwhuq frxqwulhv +lq whupv
ri jurvv surgxfwlrq, zrxog jhqhudwh d vkliw lq uhodwlyh hpsor|phqw ri derxw
314 shufhqw lq idyrxu ri kljk0vnloohg oderxu vhjphqw1 Uhjduglqj wkh g|qdplfv
ryhu wkh odvw ghfdgh/ rxwvrxuflqj wr wkh Hdvw zrxog dffrxqw iru derxw rqh
txduwhu ri wkh fkdqjh lq uhodwlyh hpsor|phqw lq idyrxu ri wkh kljk0vnloohg1
Wklv skhqrphqrq frxog suryh wr eh vlplodu iru vrph ri wkh rwkhu vpdoo
Zhvwhuq Hxurshdq frxqwulhv/ dqg lw lv olnho| wr jurz hyhq pruh surqrxqfhg
zkhq +dw ohdvw vrph ri, wkh Hdvwhuq hfrqrplhv mrlq wkh Hxurshdq Xqlrq
+vhh Nrkohu/ 5333D,1 Dffruglqj wr wkh h{whqw ri wkhlu rshqqhvv wr lpsruw
iurp wkh Hdvw dqg wkh ghjuhh wr zklfk wkhlu wudgh xqlrqv duh rujdqlvhg/ wkh
Vfdqglqdyldq dqg wkh EHQHOX[ frxqwulhv frxog eh lq xhqfhg lq d vlplodu
zd|1
Dfnqrzohgjhphqwv
Zh zlvk wr wkdqn Vyhq Duqgw/ Mrvhi Edxpjduwqhu/ Iulw} Euhxvv/ Mrvhi
Idonlqjhu/ Md|dodnvkpl Nulvkqdnxpdu/ Oäv}oö Päw|äv/ Plfkdho Sidhupd|u/
dqg Uxgroi Zlqwhu0Hephu iru khosixo glvfxvvlrqv dqg vxjjhvwlrqv1 Zh duh
lqghewhg lq Zlokhop Nrkohu/ Nduo Vfkzdu}/ wkh Dxvwuldq Wudgh Xqlrq Ihg0
hudwlrq/ dqg wkh Ylhqqd Lqvwlwxwh iru Frpsdudwlyh Hfrqrplf Vwxglhv iru wkh
surylvlrq ri gdwd1
54
D Wkhruhwlfdo Dsshqgl{
D14 Surri ri Sursrvlwlrq 4
Uhphpehu wkdw zh irfxv rq lqwhulru vroxwlrqv rqo| +l1h1 zh dvvxph u : fc
e : f/ M : f ehiruh dqg diwhu d fkdqjh
M : f/ M _ : f/ : f dqg wkxv u
lq |,1 Wkhq/ zh qg
8M
8s
8Ms
_
'
'
'
M /
S ue c M n E| n E /
M /
+55,
+56,
+57,
dffruglqj wr +;,0+43,/ +44, dqg +45,1 Lw fdq hdvlo| eh vkrzq wkdw _*_| f/ li +4;, lv ylrodwhg1 Wr ehwwhu xqghuvwdqg wklv dvvhuwlrq/ dvvxph wkdw wklv
zrxog qrw eh wkh fdvh/ l1h1 dvvxph _*_| f1 Wklv lpsolhv _M *_| f/
dffruglqj wr +6,/ dqg ixuwkhupruh _ *_| f1 Wkxv M lqfuhdvhv/ dffruglqj
wr +56, dqg +57, dqg wkh vwulfw frqfdylw| dqg olqhdu krprjhqhlw| ri 8 s E1
Qrwh wkdw dq lqfuhdvh M lpsolhv wkdw M _ ghfolqhv/ vlqfh 8Ms _ lqfuhdvhv
zlwk
*M _ dqg ghfolqhv shu dvvxpswlrq1 Wkxv/ zh kdyh _ M _ n M *_| f
dqg wkhuhiruh _ EM *_| : f/ gxh wr wkh frpshwlwlyhqhvv ri wkh oderxu pdunhw
iru kljk0vnloohg zrunhuv1 Exw dq lqfuhdvh lq wkh qxpehu ri kljk0vnloohg zrunhuv
lq lqwhjudwhg surgxfwlrq phdqv d ghfolqh lq kljk0vnloohg zdjhv/ dffruglqj wr
+47, dqg +55,/ zklfk lv d frqwudglfwlrq1
Lq wkh vdph zd|/ lw fdq eh vkrzq wkdw _*_| f/ li +4;, lv ixooohg1 Wr
ehwwhu xqghuvwdqg wklv dvvhuwlrq/ dvvxph wkdw wklv lv qrw wkh fdvh/ l1h1 dvvxph
_*_| f1 Wklv lposlhv _M *_| f/ dffruglqj wr +6,/ dqg ixuwkhupruh
_ *_| f1 Wkxv/ M ghfolqhv/ dffruglqj wr +56, dqg +57, dqg wkh vwulfw
frqfdylw| dqg olqhdu krprjhqhlw| ri 8 s E1 Qrwh wkdw d ghfolqh lq M lpsolhv
wkdw M _ lqfuhdvhv/ vlqfh 8Ms _ lqfuhdvhv
zlwk
*M _ dqg grhv qrw ghfolqh shu
_
dvvxpswlrq1 Wkxv/ zh kdyh _ M n M *_| : f dqg wkhuhiruh _ EM *_| f/ gxh wr wkh frpshwlwlyhqhvv ri wkh oderxu pdunhw iru kljk0vnloohg zrunhuv1
Exw d ghfolqh lq wkh qxpehu ri kljk0vnloohg zrunhuv lq lqwhjudwhg surgxfwlrq
phdqv dq lqfuhdvh lq kljk0vnloohg zdjhv M / dffruglqj wr +47, dqg +55,/ zklfk
lv d frqwudglfwlrq1 Lq wkh vdph zd| lw fdq eh vkrzq wkdw xqghu frqglwlrq
+4;, _*_| f lv lq dffrugdqfh zlwk dq lqwhulru htxloleulxp/ l1h1 zlwk u : fc
e : f/ M : f/ ehiruh dqg diwhu d fkdqjh
M : f/ M _ : f/ : f dqg wkxv u
lq |1 Wklv frpsohwhv wkh surri ri Sursrvlwlrq 41 55
D15 Surri ri Sursrvlwlrq 5
Xvh _*_| f dqg wkh ixoo hpsor|phqw ri erwk M dqg u1 Lw fdq wkhq eh
vkrzq wkdw dq lqwhulru vroxwlrq diwhu wkh fkdqjh lq | fdq rqo| eh uhdfkhg li
_M *_| f1 Wr ehwwhu xqghuvwdqg wklv dvvhuwlrq/ qrwh wkdw dffruglqj wr
Sursrvlwlrq 4 _M *_| f zrxog lpso| _ M _ n M *_| f dqg wkhuhiruh
_M *_| : f1 Exw dq lqfuhdvh lq wkh qxpehu ri kljk0vnloohg zrunhuv lq lq0
whjudwhg surgxfwlrq phdqv d ghfolqh lq kljk0vnloohg zdjhv M / dffruglqj wr
+47, dqg +55,/ zklfk
lv d frqwudglfwlrq1
Qrz/ li _M *_| f/ wkhq _M *_| : f
dqg wkhuhiruh _ M _ n M *_| f/ dffruglqj wr +47, dqg +55,/ zklfk lv lq
dffrugdqfh zlwk _*_| f1 Ilqdoo|/ dffruglqj wr +44,/ +45,/ +46, dqg +47,/
zh qg
_/ (
f/
+58,
_|
gxh wr wkh olqhdu krprjhqhlw| ri 8 E1 Wklv frpsohwhv wkh surri ri
Sursrvlwlrq 51
Uhihuhqfhv
Duqgw/ Vyhq Z1 +4<<:,/ Joredolvdwlrq dqg wkh Rshq Hfrqrp|/ Qruwk Dphu0
lfdq Mrxuqdo ri Hfrqrplfv dqg Ilqdqfh ;+4,/ ss1 :40:<1
Duqgw/ Vyhq Z1 +4<<<,/ Joredolvdwlrq dqg Hfrqrplf Ghyhorsphqw/ Mrxuqdo
ri Lqwhuqdwlrqdo Wudgh dqg Hfrqrplf Ghyhorsphqw ;+6,/ ss1 63<064;1
Ehopdq/ Gdoh dqg Mrkq V1 Kh|zrrg +4<<3,/ Xqlrq Phpehuvkls/ Xqlrq Ru0
jdqlvdwlrq dqg wkh Glvshuvlrq ri Zdjhv/ Uhylhz ri Hfrqrplfv dqg Vwdwlvwlfv
:5+4,/ ss1 47;0861
Ehupdq/ Hol/ Mrkq Erxqg dqg ]yl Julolfkhv +4<<7,/ Fkdqjhv lq wkh Ghpdqg
iru Vnloohg Oderxu Zlwklq X1V1 Pdqxidfwxulqj= Hylghqfh Iurp wkh Dqqxdo
Vxuyh| ri Pdqxidfwxuhv/ Txduwhuo| Mrxuqdo ri Hfrqrplfv 43<+5,/ ss1 69:0
6<:1
Exvh/ Dgroi +4<<5,/ Wkh Eldv ri Lqvwuxphqwdo Yduldeoh Hvwlpdwruv/ Hfrqr0
phwulfd 93+4,/ ss1 4:60;31
Gdylgvrq/ Uxvvhoo dqg Mdphv J1 PdfNlqqrq +4<<6,/ Hvwlpdwlrq dqg Lqihu0
hqfh lq Hfrqrphwulfv/ Qhz \run1
Ghdugru/ Dodq Y1 +4<<;,/ Iudjphqwdwlrq lq Vlpsoh Wudgh Prghov/ Xqlyhu0
vlw| ri Plfkljdq/ Vfkrro ri Sxeolf Srolf|/ Uhvhdufk Vhplqdu lq Lqwhuqdwlrqdo
56
Hfrqrplfv/ Glvfxvvlrq Sdshu Qr1 7551
Ghoo*Dulqjd/ Fduor dqg Fodxglr Oxflirud +4<<7,/ Zdjh Glvshuvlrq dqg Xqlrq0
lvp= Gr Xqlrqv Surwhfw Orz Sd|B/ Lqwhuqdwlrqdo Mrxuqdo ri Pdqsrzhu 48+5,/
ss1 483049<1
Ihhqvwud/ Urehuw F1 +4<<;,/ Lqwhjudwlrq ri Wudgh dqg Glvlqwhjudwlrq ri Sur0
gxfwlrq lq wkh Joredo Hfrqrp|/ Mrxuqdo ri Hfrqrplf Shuvshfwlyhv 45+7,/ ss1
640831
Ihhqvwud/ Urehuw F1 dqg Jrugrq K1 Kdqvrq +4<<9,/ Joredolvdwlrq/ Rxwvrxuf0
lqj/ dqg Zdjh Lqhtxdolw|/ DHD Sdshuv dqg Surfhhglqjv ;9+5,/ ss1 57305781
Ihhqvwud/ Urehuw F1 dqg Jrugrq K1 Kdqvrq +4<<:,/ Surgxfwlylw| Phdvxuh0
phqw dqg wkh Lpsdfw ri Wudgh dqg Whfkqrorj| rq Zdjhv= Hvwlpdwhv iru wkh
X1V1/ 4<:504<<3/ QEHU Zrunlqj Sdshu Qr1 93851
Ihhqvwud/ Urehuw F1 dqg Jrugrq K1 Kdqvrq +4<<<,/ Wkh Lpsdfw ri Rxwvrxuf0
lqj dqg Kljk0Whfkqrorj| Fdslwdo rq Zdjhv= Hvwlpdwhv iru wkh Xqlwhg Vwdwhv/
4<:<04<<3/ Txduwhuo| Mrxuqdo ri Hfrqrplfv 447+6,/ ss1 <3:0<731
Juhhqdzd|/ Gdylg/ Urehuw F1 Klqh dqg Shwhu Zuljkw +4<<<,/ Dq hpslulfdo
dvvhvvphqw ri wkh lpsdfw ri wudgh rq hpsor|phqw lq wkh Xqlwhg Nlqjgrp/
Hxurshdq Mrxuqdo ri Srolwlfdo Hfrqrp| 48+6,/ ss1 7;808331
Juhhqh/ Zlooldp K1 +4<<:,/ Hfrqrphwulf Dqdo|vlv/ 6o_ hglwlrq/ Orqgrq1
Kdxvpdq/ Mhuu| +4<:;,/ Vshflfdwlrq whvwv lq hfrqrphwulfv/ Hfrqrphwulfd
79/ ss1 4584045:41
Mrqhv/ Urqdog Z1 dqg Khqu|n Nlhu}nrzvnl +5333,/ D Iudphzrun iru Iudj0
phqwdwlrq/ lq V1 Z1 Duqgw dqg Khqu|n Nlhu}nrzvnl/ hgv1/ Iudjphqwdwlrq dqg
Lqwhuqdwlrqdo Wudgh/ R{irug Xqlyhuvlw| Suhvv/ s1 iruwkfrplqj1
Nlhu}nrzvnl Khqu|n +5333,/ Mrlqlqj wkh Joredo Hfrqrp|= H{shulhqfh dqg
Survshfwv ri wkh Wudqvlwlrq Hfrqrplhv/ lq V1 Z1 Duqgw dqg Khqu|n Nlhu}nrzvnl/
hgv1/ Iudjphqwdwlrq dqg Lqwhuqdwlrqdo Wudgh/ R{irug Xqlyhuvlw| Suhvv/ s1
iruwkfrplqj1
Nrkohu/ Zlokhop +5333D,/ Iudjphqwdwlrq= D Wkhruhwlfdo Wuhdwphqw/ plphr/
Xqlyhuvlw| ri Olq}1
Nrkohu/ Zlokhop +5333E,/ Uh hfwlrqv rq Iudjphqwdwlrq/ gholyhuhg dw wkh
ZLIR zrunvkrs rq Frpshwlwlyhqhvv/ Iudjphqwdwlrq dqg Orfdwlrq/ Ylhqqd1
57
Nulvkqdnxpdu/ Md|dodnvkpl +4<<9,/ Vlpxowdqhrxv Htxdwlrqv/ lq Päw|äv/ Oäv0
}or dqg Sdwulfn Vhyhvwuh/ hgv1/ Wkh Hfrqrphwulfv ri Sdqho Gdwd1 D Kdqgerrn
ri wkh Wkhru| zlwk Dssolfdwlrqv/ 5qg uhylvhg hglwlrq/ Noxzhu/ Gruguhfkw/ ss1
4<905681
Nuxjpdq/ Sdxo U1 +4<<8,/ Jurzlqj Zruog Wudgh= Fdxvhv dqg Frqvhtxhqfhv/
Eurrnlqjv Sdshuv rq Hfrqrplf Dfwlylw| L/ ss1 65:06::1
Phqj/ Urqdog D1 +4<<3,/ Xqlrq Hhfwv rq Zdjh Glvshuvlrq lq Fdqdgldq Lq0
gxvwu|/ Hfrqrplfv Ohwwhuv 65+7,/ ss1 6<<07361
Ur|vwrq/ Sdwulfld +4<<4,/ Vkdslur0Zlon dqg Vkdslur0Iudqfld Whvwv1 Vwdwd
Whfkqlfdo Exoohwlq 6+4<,1 Uhsulqwhg lq Vwdwd Whfkqlfdo Exoohwlq Uhsulqwv/
yro1 4/ s1 4381
Vkhd/ Mrkq +4<<:,/ Lqvwuxphqw Uhohydqfh lq Pxowlyduldwh Olqhdu Prghov= D
Vlpsoh Phdvxuh/ Uhylhz ri Hfrqrplfv dqg Vwdwlvwlfv :<+5,/ ss1 67;06851
Vodxjkwhu Pdwwkhz M1 +5333,/ Surgxfwlrq wudqvihu zlwklq pxowlqdwlrqdo hq0
whusulvhv dqg Dphulfdq zdjhv/ Mrxuqdo ri Lqwhuqdwlrqdo Hfrqrplfv 83+5,/ ss1
77<07:51
58
Table 1: The Determinants of Austrian Outsourcing into Eastern Economies
1990-1998
1)
2)
Specification I
Dependent Variable
3)
Unit Labor Costs in Eastern Countries (ULCE)
Tariff Barriers (TB)
5)
Non-Tariff Barriers Dummy (NTBD)
6)
Non-Tariff Barriers Interaction (NTBI)
Constant
Statistics (N=20; T=9)
Observations
2
Adj. R
7)
4)
Specification II
β
Std. error
β
Std. error
-0.89
0.313
**)
-0.83
0.294
**)
-0.43
0.124
**)
-0.41
0.122
**)
0.60
0.160
**)
0.56
0.158
**)
-0.01
0.009
-0.01
0.009
-6.03
0.567
-6.70
8)
0.598
**)
p-value
p-value
180
180
0.89
9)
Time Effects: F (8, 148)
Industry Effects: F (19, 148)
9)
**)
0.89
2.96
0.004
**)
66.92
0.000
**)
3.12
0.003
**)
62.09
0.000
**)
1) Outsourcing to Eastern countries measured in percent of gross production. - 2) Outsourcing to Eastern
countries measured in percent of intermediate inputs. - 3) All variables are in logs. Parameter estimates for
fixed time and industry effects are not reported in order to save space. Only heteroskedasticity consistent
standard errors are reported. - 4) ULCE are wages per unit of output, with 1993 as the base year.
5) Simple average applied most favored nation (MFN) tariff rate. - 6) Dummy variable which is 1, if nontariff barriers are reported, 0 otherwise. - 7) Interaction term with NTBD, which takes the value of the
simple frequency ratio of NTBs if NTBD is 1, and 0 otherwise. - 8) Degrees of freedom in parentheses.
9) F-tests for testing the restriction of joint zero parameters for the respective effects (fixed time and
industry effects). - **) significant at 5 percent, *) significant at 10 percent.
Table 2: Skill-specific Relative Employment and Outsourcing in Austria 1990-1998
Two-stage Least Squares Estimation Results. Dependent Variable is Log of High-skilled Relative to Low-skilled Employment
1) 3)
2) 3)
Specification 1
Dependent Variable
β
5)
Outsourcing (OY)
0.10
Outsourcing (OI)
Relative Wage Rate (RW)
Export Openness (XY)
6)
Import Openness (MY)
Capital Output Ratio (KY)
Constant
Statistics (N=20; T=9)
Observations
2
Adj. R
0.040
-
-0.93
1.056
**)
0.074
**)
-0.25
0.014
**)
-0.24
2.20
0.119
0.839
**)
7)
**)
-
8)
Industry Effects: F (19, 146)
8)
8)
Outlier Effects: F(3, 143)
Normal Distribution I: adj. χ
2 9)
10)
11)
Endogeneity (OUT)
12)
Instrument Relevance: R p (RWAGE)
β
Std. error
0.031
-0.07
0.850
**)
Specification 4
Std. error
0.04
0.018
-
-
-0.79
0.990
0.070
**)
-0.25
0.086
**)
-0.07
1.34
0.115
0.755
0.069
-0.22
0.073
-0.22
1.49
0.096
0.717
**)
-0.15
1.44
0.097
0.625
179
179
0.98
0.98
0.98
0.98
0.98
0.457
0.89
0.526
389.19
0.000
**)
464.45
0.000
5.98
0.001
**)
-
-
1.84
0.398
4.64
0.098
1.01
0.155
0.43
0.332
0.126
6.82
0.009
**)
*)
**)
1.46
0.178
1.31
0.245
440.83
0.000
**)
311.49
0.000
6.07
0.001
**)
-
-
1.84
0.398
4.64
0.098
1.01
0.155
0.43
0.332
-
-
-
-
0.50
0.57
-
-
Overidentification χ (m)
2.31
5.74
0.125
RESET: F(3, 144)
14)
7.17
0.315
0.000
1.60
**)
6.69
0.450
0.000
**)
7.17
*)
p-value
179
Instrument Relevance: R p (OUT)
13)
**)
p-value
0.19
2
0.209
0.20
0.26
12)
0.02
**)
0.21
2
-
0.060
-0.36
p-value
-
1.232
**)
**)
Std. error
-1.36
0.066
0.17
β
**)
**)
0.28
**)
179
2.50
2
2) 4)
Specification 3
0.08
p-value
Time Effects: F (8, 146)
Normal Distribution II
β
Std. error
0.23
6)
1) 4)
Specification 2
**)
*)
0.19
0.000
**)
-
-
1.60
0.450
6.69
0.000
**)
1) Outsourcing to Eastern countries measured as percent of gross production. - 2) Outsourcing to Eastern countries measured as percent of intermediate inputs. - 3) Relative wages and outsourcing
are instrumented according to the degree of trade union organisation (ORG), price cost margin (PCM), median firm size (MSIZE), trade barriers (TB), non-tariff barrier dummy (NTBD), and nontariff barrier interaction term (NTBI). - 4) Only relative wages are instrumented according to the degree of trade union organisation (ORG), price cost margin (PCM), median firm size (MSIZE), and
tariff barriers to trade (TB). - 5) All variables are in logs. Parameter estimates for fixed time and industry effects as well as for outlier dummies are not reported in order to save space. - 6) Exports
(imports) as percent of industry gross production. - 7) Degrees of freedom in parentheses. - 8) F-tests for testing the restriction of joint zero parameters for the respective effects (outlier dummies,
fixed time and industry effects). - 9) Combined Skewness/Kurtosis test for normality, Royston (1991). 10) Shapiro-Wilk W test for normal data (Royston 1991); asymptotically following a
2
normal distribution. - 11) Hausman test on the endogeneity of outsourcing, Hausman (1978), Greene (1997). - 12) Partial R diagnostics testing for instrumental relevance, Shea (1997).
2
13) Testing the validity of instruments based on overidentifying restrictions, under the null being distributed as χ (number of overidentifying restrictions, m), Davidson & MacKinnon (1993, p. 236).
14) Ramsey RESET test using powers of the fitted values of the dependent. - **) significant at 5 percent.
Table 3: Three-Stage Least Squares Systems Estimation Results
Dependent Variable is Log of High-skilled Relative to Low-skilled Employment in Heads
1) 3)
2) 3)
Specification A
Dependent Variable
β
5)
Outsourcing (OY)
0.10
Outsourcing (OI)
Relative Wage Rate (RW)
1) 4)
Specification B
β
Std. error
0.036
-
-
-0.93
0.944
**)
-
2) 4)
Specification C
β
Std. error
-
0.08
0.025
0.06
0.731
**)
Specification D
Std. error
0.12
0.026
-
-
-0.61
0.520
-
-
0.08
0.027
**)
-0.21
0.612
0.054
**)
0.29
0.058
**)
0.23
0.066
Import Openness (MY)
-0.25
0.073
**)
-0.37
0.062
**)
-0.33
0.057
**)
-0.36
0.060
**)
Capital Output Ratio (KY)
-0.24
0.106
**)
-0.22
0.086
**)
-0.35
0.081
**)
-0.22
0.084
**)
2.20
0.750
**)
1.47
0.614
**)
1.90
0.562
**)
1.59
0.605
**)
Statistics (N=20; T=9; 3 Equations)
Observations
2
7)
R Relative Employment
2
7)
R Relative Wages
2
R Outsourcing
7)
6)
p-value
p-value
Time effects: χ (24, 148)
8)
Industry effects: χ (57, 148)
2
Outlier Effects: χ (9, 143)
2
8)
8)
p-value
p-value
179
179
179
179
0.986
0.988
0.989
0.987
0.942
0.943
0.942
0.941
0.935
2
0.26
Std. error
Export Openness (XY)
Constant
0.058
β
**)
0.28
**)
**)
0.942
0.947
75.79
0.000
**)
13721.83
0.000
**)
14041.82
0.000
32.00
0.000
**)
-
-
80.99
0.000
**)
86.57
**)
0.940
0.000
**)
74.22
0.000
**)
17723.39
0.000
**)
15300.01
0.000
**)
48.04
0.000
**)
-
-
1) Outsourcing to Eastern countries measured as percent of gross production. - 2) Outsourcing to Eastern countries measured as percent of intermediate inputs. - 3) Relative wages and
outsourcing in Specification A (Specification B) are instrumented as in Specification 1 (Specification 2), Table 2. - 4) Relative wages are instrumented according to the degree of trade
union organisation (ORG), price cost margin (PCM), and medium industry firm size (MSIZE); outsourcing is instrumented by trade barriers (TB), non-tariff barrier dummy (NTBD),
non-tariff barrier interaction term (NTBI), and unit labor costs in Eastern countries (ULCE). - 5) All variables are in logs. Parameter estimates for fixed time and industry effects, as well
2
as for outlier dummies, are not reported in order to save space. - 6) Degrees of freedom in parentheses. - 7) R for the respective equation. - 8) Likelihood ratio test, testing for joint zero
parameters for fixed time effects, fixed industry effects, and outlier effects, respectively. - **) significant at 5 percent.